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55259857152 = 283327129501
BaseRepresentation
bin110011011101101111…
…101000000100000000
312021122011011121012000
4303131233220010000
51401133010412102
641215214304000
73664251015153
oct633557500400
9167564147160
1055259857152
1121487826635
12a8624b8000
1352986b2836
142963115c9a
15168652b01c
hexcddbe8100

55259857152 has 144 divisors (see below), whose sum is σ = 164021679360. Its totient is φ = 18351360000.

The previous prime is 55259857139. The next prime is 55259857157. The reversal of 55259857152 is 25175895255.

55259857152 is a `hidden beast` number, since 552 + 5 + 9 + 85 + 7 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×552598571522 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55259857157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858402 + ... + 1887902.

It is an arithmetic number, because the mean of its divisors is an integer number (1139039440).

Almost surely, 255259857152 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 55259857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82010839680).

55259857152 is an abundant number, since it is smaller than the sum of its proper divisors (108761822208).

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

55259857152 is a wasteful number, since it uses less digits than its factorization.

55259857152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29797 (or 29777 counting only the distinct ones).

The product of its digits is 6300000, while the sum is 54.

The spelling of 55259857152 in words is "fifty-five billion, two hundred fifty-nine million, eight hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 271 288 384 432 542 576 768 813 864 1084 1152 1626 1728 2168 2304 2439 3252 3456 4336 4878 6504 6912 7317 8672 9756 13008 14634 17344 19512 26016 29268 29501 34688 39024 52032 58536 59002 69376 78048 88503 104064 117072 118004 156096 177006 208128 234144 236008 265509 312192 354012 468288 472016 531018 624384 708024 796527 936576 944032 1062036 1416048 1593054 1873152 1888064 2124072 2832096 3186108 3776128 4248144 5664192 6372216 7552256 7994771 8496288 11328384 12744432 15989542 16992576 22656768 23984313 25488864 31979084 33985152 47968626 50977728 63958168 67970304 71952939 95937252 101955456 127916336 143905878 191874504 203910912 215858817 255832672 287811756 383749008 431717634 511665344 575623512 767498016 863435268 1023330688 1151247024 1534996032 1726870536 2046661376 2302494048 3069992064 3453741072 4604988096 6139984128 6907482144 9209976192 13814964288 18419952384 27629928576 55259857152