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54995679232 = 211136133863
BaseRepresentation
bin110011001101111111…
…110111100000000000
312020221202001222012121
4303031333313200000
51400112343213412
641133100134024
73654562363144
oct631577674000
9166852058177
1054995679232
112136169987a
12a7a9b37314
135255a47a40
142939dc9224
15166d246107
hexccdff7800

54995679232 has 96 divisors (see below), whose sum is σ = 120368233440. Its totient is φ = 24965775360.

The previous prime is 54995679223. The next prime is 54995679253. The reversal of 54995679232 is 23297659945.

It is a super-2 number, since 2×549956792322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607133 + ... + 1640995.

It is an arithmetic number, because the mean of its divisors is an integer number (1253835765).

Almost surely, 254995679232 is an apocalyptic number.

54995679232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54995679232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60184116720).

54995679232 is an abundant number, since it is smaller than the sum of its proper divisors (65372554208).

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

54995679232 is a wasteful number, since it uses less digits than its factorization.

54995679232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33959 (or 33939 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 61.

The spelling of 54995679232 in words is "fifty-four billion, nine hundred ninety-five million, six hundred seventy-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 512 793 832 976 1024 1586 1664 1952 2048 3172 3328 3904 6344 6656 7808 12688 13312 15616 25376 26624 31232 33863 50752 62464 67726 101504 124928 135452 203008 270904 406016 440219 541808 812032 880438 1083616 1624064 1760876 2065643 2167232 3521752 4131286 4334464 7043504 8262572 8668928 14087008 16525144 17337856 26853359 28174016 33050288 34675712 53706718 56348032 66100576 69351424 107413436 112696064 132201152 214826872 225392128 264402304 429653744 450784256 528804608 859307488 901568512 1057609216 1718614976 2115218432 3437229952 4230436864 6874459904 13748919808 27497839616 54995679232