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1056326372752 = 2471741123710939
BaseRepresentation
bin11110101111100011111…
…01010100110110010000
310201222120012102122000211
433113301331110312100
5114301324022412002
62125134124053504
7136213516010140
oct17276175246620
93658505378024
101056326372752
11377a92776482
12150881694294
13787c39070a1
14391ab062920
151c726711dd7
hexf5f1f54d90

1056326372752 has 160 divisors (see below), whose sum is σ = 2539284975360. Its totient is φ = 415314984960.

The previous prime is 1056326372683. The next prime is 1056326372771. The reversal of 1056326372752 is 2572736236501.

It is a super-2 number, since 2×10563263727522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056326372696 and 1056326372705.

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 31 ways as a sum of consecutive naturals, for example, 96559699 + ... + 96570637.

It is an arithmetic number, because the mean of its divisors is an integer number (15870531096).

Almost surely, 21056326372752 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 1056326372752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269642487680).

1056326372752 is an abundant number, since it is smaller than the sum of its proper divisors (1482958602608).

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

1056326372752 is a wasteful number, since it uses less digits than its factorization.

1056326372752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249 (or 12243 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 1056326372752 in words is "one trillion, fifty-six billion, three hundred twenty-six million, three hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 112 119 136 164 238 272 287 328 476 574 656 697 952 1148 1237 1394 1904 2296 2474 2788 4592 4879 4948 5576 8659 9758 9896 10939 11152 17318 19516 19792 21029 21878 34636 39032 42058 43756 50717 69272 76573 78064 84116 87512 101434 138544 147203 153146 168232 175024 185963 202868 294406 306292 336464 355019 371926 405736 448499 588812 612584 710038 743852 811472 862189 896998 1177624 1225168 1301741 1420076 1487704 1724378 1793996 2355248 2603482 2840152 2975408 3139493 3448756 3587992 5206964 5680304 6035323 6278986 6897512 7175984 7624483 10413928 12070646 12557972 13531543 13795024 15248966 20827856 24141292 25115944 27063086 30497932 48282584 50231888 53371381 54126172 60995864 94720801 96565168 106742762 108252344 121991728 189441602 213485524 216504688 230036231 378883204 426971048 460072462 554793263 757766408 853942096 920144924 1109586526 1515532816 1610253617 1840289848 2219173052 3220507234 3680579696 3883552841 4438346104 6441014468 7767105682 8876692208 9431485471 12882028936 15534211364 18862970942 25764057872 31068422728 37725941884 62136845456 66020398297 75451883768 132040796594 150903767536 264081593188 528163186376 1056326372752