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255655805904 = 24334756922129
BaseRepresentation
bin1110111000011001000…
…1100000001111010000
3220102220002111120021000
43232012101200033100
513142040341242104
6313240251102000
724320250331542
oct3560621401720
9812802446230
10255655805904
1199472045a04
124166a741900
131b153a552c5
14c533a25692
1569b4613639
hex3b864603d0

255655805904 has 160 divisors (see below), whose sum is σ = 750791232000. Its totient is φ = 83255095296.

The previous prime is 255655805897. The next prime is 255655805953. The reversal of 255655805904 is 409508556552.

It is a happy number.

255655805904 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 5 + 580 + 59 + 0 + 4 = 666.

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, 11541912 + ... + 11564040.

It is an arithmetic number, because the mean of its divisors is an integer number (4692445200).

Almost surely, 2255655805904 is an apocalyptic number.

255655805904 is a gapful number since it is divisible by the number (24) 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 255655805904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375395616000).

255655805904 is an abundant number, since it is smaller than the sum of its proper divisors (495135426096).

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

255655805904 is a wasteful number, since it uses less digits than its factorization.

255655805904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22762 (or 22750 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 54.

The spelling of 255655805904 in words is "two hundred fifty-five billion, six hundred fifty-five million, eight hundred five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 569 752 846 1128 1138 1269 1692 1707 2256 2276 2538 3384 3414 4552 5076 5121 6768 6828 9104 10152 10242 13656 15363 20304 20484 22129 26743 27312 30726 40968 44258 53486 61452 66387 80229 81936 88516 106972 122904 132774 160458 177032 199161 213944 240687 245808 265548 320916 354064 398322 427888 481374 531096 597483 641832 722061 796644 962748 1040063 1062192 1194966 1283664 1444122 1593288 1925496 2080126 2389932 2888244 3120189 3186576 3850992 4160252 4779864 5776488 6240378 8320504 9360567 9559728 11552976 12480756 12591401 16641008 18721134 24961512 25182802 28081701 37442268 37774203 49923024 50365604 56163402 74884536 75548406 100731208 112326804 113322609 149769072 151096812 201462416 224653608 226645218 302193624 339967827 449307216 453290436 591795847 604387248 679935654 906580872 1183591694 1359871308 1775387541 1813161744 2367183388 2719742616 3550775082 4734366776 5326162623 5439485232 7101550164 9468733552 10652325246 14203100328 15978487869 21304650492 28406200656 31956975738 42609300984 63913951476 85218601968 127827902952 255655805904