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55788738864 = 24329137292541
BaseRepresentation
bin110011111101010001…
…001001100100110000
312100000000100120111120
4303331101021210300
51403223404120424
641343510142240
74013332312305
oct637521114460
9170000316446
1055788738864
112172931a261
12a98b651980
13535113a8b1
1429b34690ac
1516b7b9ba79
hexcfd449930

55788738864 has 80 divisors (see below), whose sum is σ = 150179361120. Its totient is φ = 17823877120.

The previous prime is 55788738791. The next prime is 55788738869. The reversal of 55788738864 is 46883788755.

It is a super-2 number, since 2×557887388642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55788738869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44434 + ... + 336974.

It is an arithmetic number, because the mean of its divisors is an integer number (1877242014).

Almost surely, 255788738864 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 55788738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75089680560).

55788738864 is an abundant number, since it is smaller than the sum of its proper divisors (94390622256).

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

55788738864 is a wasteful number, since it uses less digits than its factorization.

55788738864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292718 (or 292712 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 69.

The spelling of 55788738864 in words is "fifty-five billion, seven hundred eighty-eight million, seven hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 137 174 232 274 348 411 464 548 696 822 1096 1392 1644 2192 3288 3973 6576 7946 11919 15892 23838 31784 47676 63568 95352 190704 292541 585082 877623 1170164 1755246 2340328 3510492 4680656 7020984 8483689 14041968 16967378 25451067 33934756 40078117 50902134 67869512 80156234 101804268 120234351 135739024 160312468 203608536 240468702 320624936 407217072 480937404 641249872 961874808 1162265393 1923749616 2324530786 3486796179 4649061572 6973592358 9298123144 13947184716 18596246288 27894369432 55788738864