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76937344373968 = 24135318353380269
BaseRepresentation
bin10001011111100101011111…
…000101001101010011010000
3101002102010201210222011100221
4101133211133011031103100
540041020140124431333
6431344310021322424
722130353054615501
oct2137453705152320
9332363653864327
1076937344373968
1122572a43168251
128766b80b66414
1333c12116570b0
1414ddb04646ba8
158d64b4774d2d
hex45f95f14d4d0

76937344373968 has 80 divisors (see below), whose sum is σ = 163570989692880. Its totient is φ = 34837562253312.

The previous prime is 76937344373951. The next prime is 76937344373983. The reversal of 76937344373968 is 86937344373967.

It can be written as a sum of positive squares in 8 ways, for example, as 5408917701264 + 71528426672704 = 2325708^2 + 8457448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202133338 + ... + 202513606.

It is an arithmetic number, because the mean of its divisors is an integer number (2044637371161).

Almost surely, 276937344373968 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 76937344373968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81785494846440).

76937344373968 is an abundant number, since it is smaller than the sum of its proper divisors (86633645318912).

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

76937344373968 is a wasteful number, since it uses less digits than its factorization.

76937344373968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398696 (or 398690 counting only the distinct ones).

The product of its digits is 10369949184, while the sum is 79.

Subtracting 76937344373968 from its reverse (86937344373967), we obtain a palindrome (9999999999999).

The spelling of 76937344373968 in words is "seventy-six trillion, nine hundred thirty-seven billion, three hundred forty-four million, three hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 11024 18353 36706 73412 146824 238589 293648 380269 477178 760538 954356 972709 1521076 1908712 1945418 3042152 3817424 3890836 4943497 6084304 7781672 9886994 12645217 15563344 19773988 20154257 25290434 39547976 40308514 50580868 79095952 80617028 101161736 161234056 202323472 262005341 322468112 524010682 1048021364 2096042728 4192085456 6979076957 13958153914 27916307828 55832615656 90728000441 111665231312 181456000882 362912001764 369891078721 725824003528 739782157442 1451648007056 1479564314884 2959128629768 4808584023373 5918257259536 9617168046746 19234336093492 38468672186984 76937344373968