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87215447747412 = 223219438593452039
BaseRepresentation
bin10011110101001001101101…
…110010000010101101010100
3102102210201022111202120011200
4103311021231302002231110
542412414214110404122
6505254120143032500
724241052046042165
oct2365115562025524
9372721274676150
1087215447747412
1125875955607986
129946b30b9b730
1339884c601434a
14177737076576c
15a13a198675ac
hex4f526dc82b54

87215447747412 has 144 divisors (see below), whose sum is σ = 237737852352000. Its totient is φ = 26869890535488.

The previous prime is 87215447747387. The next prime is 87215447747423. The reversal of 87215447747412 is 21474774451278.

87215447747412 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 544 + 7 + 7 + 4 + 74 + 12 = 666.

87215447747412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 87215447747412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23538889 + ... + 26990927.

It is an arithmetic number, because the mean of its divisors is an integer number (1650957308000).

Almost surely, 287215447747412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87215447747412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118868926176000).

87215447747412 is an abundant number, since it is smaller than the sum of its proper divisors (150522404604588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87215447747412 is a wasteful number, since it uses less digits than its factorization.

87215447747412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452970 (or 3452965 counting only the distinct ones).

The product of its digits is 98344960, while the sum is 63.

The spelling of 87215447747412 in words is "eighty-seven trillion, two hundred fifteen billion, four hundred forty-seven million, seven hundred forty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 859 1548 1634 1718 2451 2577 3268 3436 4902 5154 7353 7731 9804 10308 14706 15462 16321 29412 30924 32642 36937 48963 65284 73874 97926 110811 146889 147748 195852 221622 293778 332433 443244 587556 664866 701803 1329732 1403606 2105409 2807212 3452039 4210818 6316227 6904078 8421636 10356117 12632454 13808156 20712234 25264908 31068351 41424468 62136702 65588741 124273404 131177482 148437677 196766223 262354964 296875354 393532446 445313031 590298669 593750708 787064892 890626062 1180597338 1335939093 1781252124 2361194676 2671878186 2820315863 2965301501 5343756372 5640631726 5930603002 8460947589 8895904503 11281263452 11861206004 16921895178 17791809006 25382842767 26687713509 33843790356 35583618012 50765685534 53375427018 56340728519 101531371068 106750854036 112681457038 127507964543 169022185557 225362914076 255015929086 338044371114 382523893629 507066556671 510031858172 676088742228 765047787258 1014133113342 1147571680887 1530095574516 2028266226684 2295143361774 2422651326317 4590286723548 4845302652634 7267953978951 9690605305268 14535907957902 21803861936853 29071815915804 43607723873706 87215447747412