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87245799876 = 223219225912
BaseRepresentation
bin101000101000001000…
…0010100000111000100
322100012022100211211100
41101100100110013010
52412134411044001
6104025152140100
76206014030404
oct1212020240704
9270168324740
1087245799876
1134000a85844
1214aaa537630
1382c533c771
1443191da804
15240968c586
hex14504141c4

87245799876 has 81 divisors (see below), whose sum is σ = 232846032783. Its totient is φ = 27540671760.

The previous prime is 87245799863. The next prime is 87245799919. The reversal of 87245799876 is 67899754278.

The square root of 87245799876 is 295374.

It is a perfect power (a square), and thus also a powerful number.

87245799876 is a `hidden beast` number, since 8 + 7 + 2 + 457 + 99 + 87 + 6 = 666.

It is a super-2 number, since 2×872457998762 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33671341 + ... + 33673931.

Almost surely, 287245799876 is an apocalyptic number.

87245799876 is the 295374-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87245799876

87245799876 is an abundant number, since it is smaller than the sum of its proper divisors (145600232907).

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

87245799876 is a wasteful number, since it uses less digits than its factorization.

87245799876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 2615 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 87245799876 in words is "eighty-seven billion, two hundred forty-five million, seven hundred ninety-nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2591 3249 4332 5182 6498 7773 10364 12996 15546 23319 31092 46638 49229 93276 98458 147687 196916 295374 443061 590748 886122 935351 1772244 1870702 2806053 3741404 5612106 6713281 8418159 11224212 13426562 16836318 20139843 26853124 33672636 40279686 60419529 80559372 120839058 127552339 241678116 255104678 382657017 510209356 765314034 1147971051 1530628068 2295942102 2423494441 4591884204 4846988882 7270483323 9693977764 14540966646 21811449969 29081933292 43622899938 87245799876