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137760416281472 = 27832156227791
BaseRepresentation
bin11111010100101011011000…
…101011010011001110000000
3200001202202201021100202110112
4133110223120223103032000
5121024031313032001342
61204554132255250452
741005601352545555
oct3724533053231600
9601682637322415
10137760416281472
113a9929566476a6
121354aa84819a28
135bb39a00c9c0a
1426038d5590a2c
1510dd6e7dd0682
hex7d4ad8ad3380

137760416281472 has 48 divisors (see below), whose sum is σ = 277790980372080. Its totient is φ = 68050325679360.

The previous prime is 137760416281463. The next prime is 137760416281493. The reversal of 137760416281472 is 274182614067731.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 77232104 + ... + 78995687.

It is an arithmetic number, because the mean of its divisors is an integer number (5787312091085).

Almost surely, 2137760416281472 is an apocalyptic number.

It is an amenable number.

137760416281472 is an abundant number, since it is smaller than the sum of its proper divisors (140030564090608).

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

137760416281472 is an frugal number, since it uses more digits than its factorization.

137760416281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156227971 (or 156227876 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 59.

The spelling of 137760416281472 in words is "one hundred thirty-seven trillion, seven hundred sixty billion, four hundred sixteen million, two hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 6889 10624 13778 27556 55112 110224 220448 440896 881792 156227791 312455582 624911164 1249822328 2499644656 4999289312 9998578624 12966906653 19997157248 25933813306 51867626612 103735253224 207470506448 414941012896 829882025792 1076253252199 1659764051584 2152506504398 4305013008796 8610026017592 17220052035184 34440104070368 68880208140736 137760416281472