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31860876967936 = 21617212972
BaseRepresentation
bin1110011111010001100000…
…10000010000000000000000
311011210212111022000022112221
413033220300100100000000
513134002034000433221
6151432403530500424
76465605142545632
oct717506020200000
9134725438008487
1031860876967936
11a174138489795
1236a6a27294714
1314a1610a02773
147c2108c90a52
153a3b94062541
hex1cfa30410000

31860876967936 has 153 divisors (see below), whose sum is σ = 67742296421079. Its totient is φ = 14981793841152.

The previous prime is 31860876967921. The next prime is 31860876967939. The reversal of 31860876967936 is 63976967806813.

The square root of 31860876967936 is 5644544.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23283944718336 + 8576932249600 = 4825344^2 + 2928640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31860876967939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24565054840 + ... + 24565056136.

Almost surely, 231860876967936 is an apocalyptic number.

31860876967936 is the 5644544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31860876967936

31860876967936 is an abundant number, since it is smaller than the sum of its proper divisors (35881419453143).

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

31860876967936 is an frugal number, since it uses more digits than its factorization.

31860876967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 79.

The spelling of 31860876967936 in words is "thirty-one trillion, eight hundred sixty billion, eight hundred seventy-six million, nine hundred sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 1297 2048 2176 2312 2594 4096 4352 4624 5188 8192 8704 9248 10376 16384 17408 18496 20752 22049 32768 34816 36992 41504 44098 65536 69632 73984 83008 88196 139264 147968 166016 176392 278528 295936 332032 352784 374833 557056 591872 664064 705568 749666 1114112 1183744 1328128 1411136 1499332 1682209 2367488 2656256 2822272 2998664 3364418 4734976 5312512 5644544 5997328 6728836 9469952 10625024 11289088 11994656 13457672 18939904 21250048 22578176 23989312 26915344 28597553 42500096 45156352 47978624 53830688 57195106 85000192 90312704 95957248 107661376 114390212 180625408 191914496 215322752 228780424 361250816 383828992 430645504 457560848 486158401 722501632 767657984 861291008 915121696 972316802 1445003264 1535315968 1722582016 1830243392 1944633604 3070631936 3445164032 3660486784 3889267208 6141263872 6890328064 7320973568 7778534416 12282527744 13780656128 14641947136 15557068832 24565055488 27561312256 29283894272 31114137664 55122624512 58567788544 62228275328 110245249024 117135577088 124456550656 234271154176 248913101312 468542308352 497826202624 937084616704 995652405248 1874169233408 1991304810496 3982609620992 7965219241984 15930438483968 31860876967936