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54805107706496 = 2771729124069807
BaseRepresentation
bin11000111011000010011101…
…11110100000101010000000
321012001022120012001002011022
430131201032332200222000
524140411330033101441
6312321041403405012
714354352442133660
oct1435411676405200
9235038505032138
1054805107706496
111650a796596994
12619171b823768
13247713a7380c4
14d7681d3aa1a0
1565091753b84b
hex31d84efa0a80

54805107706496 has 128 divisors (see below), whose sum is σ = 136675300492800. Its totient is φ = 21343976865792.

The previous prime is 54805107706469. The next prime is 54805107706523. The reversal of 54805107706496 is 69460770150845.

It is an interprime number because it is at equal distance from previous prime (54805107706469) and next prime (54805107706523).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×548051077064964 (a number of 56 digits) contains 4444 as substring.

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, 61593176 + ... + 62476631.

It is an arithmetic number, because the mean of its divisors is an integer number (1067775785100).

Almost surely, 254805107706496 is an apocalyptic number.

54805107706496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54805107706496 is an abundant number, since it is smaller than the sum of its proper divisors (81870192786304).

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

54805107706496 is a wasteful number, since it uses less digits than its factorization.

54805107706496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124069874 (or 124069862 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 62.

The spelling of 54805107706496 in words is "fifty-four trillion, eight hundred five billion, one hundred seven million, seven hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 128 136 203 224 232 238 272 406 448 464 476 493 544 812 896 928 952 986 1088 1624 1856 1904 1972 2176 3248 3451 3712 3808 3944 6496 6902 7616 7888 12992 13804 15232 15776 25984 27608 31552 55216 63104 110432 220864 441728 124069807 248139614 496279228 868488649 992558456 1736977298 1985116912 2109186719 3473954596 3598024403 3970233824 4218373438 6947909192 7196048806 7940467648 8436746876 13895818384 14392097612 14764307033 15880935296 16873493752 25186170821 27791636768 28784195224 29528614066 33746987504 50372341642 55583273536 57568390448 59057228132 61166414851 67493975008 100744683284 111166547072 115136780896 118114456264 122332829702 134987950016 201489366568 230273561792 236228912528 244665659404 269975900032 402978733136 428164903957 460547123584 472457825056 489331318808 805957466272 856329807914 944915650112 978662637616 1611914932544 1712659615828 1889831300224 1957325275232 3223829865088 3425319231656 3914650550464 6850638463312 7829301100928 13701276926624 27402553853248 54805107706496