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55178229456 = 2433732995531
BaseRepresentation
bin110011011000111000…
…001111011011010000
312021102110120111001000
4303120320033123100
51401001111320311
641203140542000
73662240132430
oct633070173320
9167373514030
1055178229456
1121445743529
12a83b0b1900
13528480261c
1429563482c0
15167e2a5056
hexcd8e0f6d0

55178229456 has 160 divisors (see below), whose sum is σ = 181095552000. Its totient is φ = 15757580160.

The previous prime is 55178229437. The next prime is 55178229521. The reversal of 55178229456 is 65492287155.

55178229456 is a `hidden beast` number, since 5 + 517 + 82 + 2 + 9 + 45 + 6 = 666.

55178229456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9973411 + ... + 9978941.

It is an arithmetic number, because the mean of its divisors is an integer number (1131847200).

Almost surely, 255178229456 is an apocalyptic number.

55178229456 is a gapful number since it is divisible by the number (56) 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 55178229456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90547776000).

55178229456 is an abundant number, since it is smaller than the sum of its proper divisors (125917322544).

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

55178229456 is a wasteful number, since it uses less digits than its factorization.

55178229456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8854 (or 8842 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 55178229456 in words is "fifty-five billion, one hundred seventy-eight million, two hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3299 5531 6598 9897 11062 13196 16593 19794 22124 23093 26392 29691 33186 38717 39588 44248 46186 49779 52784 59382 66372 69279 77434 79176 88496 89073 92372 99558 116151 118764 132744 138558 149337 154868 158352 178146 184744 199116 207837 232302 237528 265488 277116 298674 309736 348453 356292 369488 398232 415674 464604 475056 554232 597348 619472 623511 696906 712584 796464 831348 929208 1045359 1108464 1194696 1247022 1393812 1425168 1662696 1858416 2090718 2389392 2494044 2787624 3325392 4181436 4988088 5575248 8362872 9976176 16725744 18246769 36493538 54740307 72987076 109480614 127727383 145974152 164220921 218961228 255454766 291948304 328441842 383182149 437922456 492662763 510909532 656883684 766364298 875844912 985325526 1021819064 1149546447 1313767368 1532728596 1970651052 2043638128 2299092894 2627534736 3065457192 3448639341 3941302104 4598185788 6130914384 6897278682 7882604208 9196371576 13794557364 18392743152 27589114728 55178229456