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55903400721 = 310721392
BaseRepresentation
bin110100000100000110…
…100011001100010001
312100022000010000000000
4310010012203030101
51403442232310341
641403123520213
74016224031400
oct640406431421
9170260100000
1055903400721
1121788015423
12aa01b29069
13536bb15b4c
1429c4795637
1516c2c9a8b6
hexd041a3311

55903400721 has 99 divisors (see below), whose sum is σ = 98251991721. Its totient is φ = 31714981704.

The previous prime is 55903400681. The next prime is 55903400809. The reversal of 55903400721 is 12700430955.

The square root of 55903400721 is 236439.

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

55903400721 is a `hidden beast` number, since 5 + 590 + 3 + 40 + 0 + 7 + 21 = 666.

It is not a de Polignac number, because 55903400721 - 221 = 55901303569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55903401721) 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 98 ways as a sum of consecutive naturals, for example, 402182670 + ... + 402182808.

Almost surely, 255903400721 is an apocalyptic number.

55903400721 is the 236439-th square number.

55903400721 is the 118220-th centered octagonal number.

It is an amenable number.

55903400721 is a deficient number, since it is larger than the sum of its proper divisors (42348591000).

55903400721 is an frugal number, since it uses more digits than its factorization.

55903400721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 55903400721 by its sum of digits (36), we get a square (2012522425956 = 14186342).

The spelling of 55903400721 in words is "fifty-five billion, nine hundred three million, four hundred thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 139 147 189 243 417 441 567 729 973 1251 1323 1701 2187 2919 3753 3969 5103 6561 6811 8757 11259 11907 15309 19321 19683 20433 26271 33777 35721 45927 57963 59049 61299 78813 101331 107163 135247 137781 173889 183897 236439 303993 321489 405741 413343 521667 551691 709317 911979 946729 964467 1217223 1565001 1655073 2127951 2735937 2840187 2893401 3651669 4695003 4965219 6383853 8207811 8520561 10955007 14085009 14895657 19151559 25561683 32865021 42255027 44686971 57454677 76685049 98595063 126765081 134060913 230055147 295785189 380295243 402182739 690165441 887355567 1140885729 2070496323 2662066701 6211488969 7986200103 18634466907 55903400721