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316660226256 = 243311208331991
BaseRepresentation
bin1001001101110100110…
…10111001100011010000
31010021100121002012201000
410212322122321203100
520142010004220011
6401245515342000
731610064340503
oct4467232714320
91107317065630
10316660226256
11112327495930
1251454a51900
1323b2660965a
141147da5713a
15838511c356
hex49ba6b98d0

316660226256 has 160 divisors (see below), whose sum is σ = 992069360640. Its totient is φ = 95908579200.

The previous prime is 316660226251. The next prime is 316660226257. The reversal of 316660226256 is 652622066613.

It is a super-2 number, since 2×3166602262562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316660226251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9882421 + ... + 9914411.

It is an arithmetic number, because the mean of its divisors is an integer number (6200433504).

Almost surely, 2316660226256 is an apocalyptic number.

316660226256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316660226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496034680320).

316660226256 is an abundant number, since it is smaller than the sum of its proper divisors (675409134384).

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

316660226256 is a wasteful number, since it uses less digits than its factorization.

316660226256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34102 (or 34090 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 316660226256 in words is "three hundred sixteen billion, six hundred sixty million, two hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2083 2376 4166 4752 6249 8332 12498 16664 18747 22913 24996 31991 33328 37494 45826 49992 56241 63982 68739 74988 91652 95973 99984 112482 127964 137478 149976 183304 191946 206217 224964 255928 274956 287919 299952 351901 366608 383892 412434 449928 511856 549912 575838 618651 703802 767784 824868 863757 899856 1055703 1099824 1151676 1237302 1407604 1535568 1649736 1727514 2111406 2303352 2474604 2815208 3167109 3299472 3455028 4222812 4606704 4949208 5630416 6334218 6910056 8445624 9501327 9898416 12668436 13820112 16891248 19002654 25336872 38005308 50673744 66637253 76010616 133274506 152021232 199911759 266549012 399823518 533098024 599735277 733009783 799647036 1066196048 1199470554 1466019566 1599294072 1799205831 2199029349 2398941108 2932039132 3198588144 3598411662 4398058698 4797882216 5864078264 6597088047 7196823324 8796117396 9595764432 11728156528 13194176094 14393646648 17592234792 19791264141 26388352188 28787293296 35184469584 39582528282 52776704376 79165056564 105553408752 158330113128 316660226256