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55105491456 = 293319209801
BaseRepresentation
bin110011010100100010…
…110001001000000000
312021020101201000021000
4303110202301020000
51400324001211311
641152021532000
73660364643331
oct632442611000
9167211630230
1055105491456
1121408682384
12a81a874000
1352727157a2
14294a812288
151677bd8056
hexcd48b1200

55105491456 has 160 divisors (see below), whose sum is σ = 171701956800. Its totient is φ = 17401651200.

The previous prime is 55105491443. The next prime is 55105491503. The reversal of 55105491456 is 65419450155.

55105491456 is a `hidden beast` number, since 5 + 5 + 105 + 4 + 91 + 456 = 666.

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, 157756 + ... + 367556.

It is an arithmetic number, because the mean of its divisors is an integer number (1073137230).

Almost surely, 255105491456 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 55105491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85850978400).

55105491456 is an abundant number, since it is smaller than the sum of its proper divisors (116596465344).

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

55105491456 is a wasteful number, since it uses less digits than its factorization.

55105491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209847 (or 209825 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 55105491456 in words is "fifty-five billion, one hundred five million, four hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1728 1824 2052 2304 2432 2736 3456 3648 4104 4608 4864 5472 6912 7296 8208 9728 10944 13824 14592 16416 21888 29184 32832 43776 65664 87552 131328 209801 262656 419602 629403 839204 1258806 1678408 1888209 2517612 3356816 3776418 3986219 5035224 5664627 6713632 7552836 7972438 10070448 11329254 11958657 13427264 15105672 15944876 20140896 22658508 23917314 26854528 30211344 31889752 35875971 40281792 45317016 47834628 53709056 60422688 63779504 71751942 80563584 90634032 95669256 107418112 107627913 120845376 127559008 143503884 161127168 181268064 191338512 215255826 241690752 255118016 287007768 322254336 362536128 382677024 430511652 483381504 510236032 574015536 725072256 765354048 861023304 966763008 1020472064 1148031072 1450144512 1530708096 1722046608 2040944128 2296062144 2900289024 3061416192 3444093216 4592124288 6122832384 6888186432 9184248576 13776372864 18368497152 27552745728 55105491456