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255574803144 = 233374113751239
BaseRepresentation
bin1110111000000101110…
…0100000001011001000
3220102200110002012100210
43232001130200023020
513141404122200034
6313224235001120
724315244661103
oct3560134401310
9812613065323
10255574803144
119943034a381
12416475991a0
131b14003368b
14c526d7b73a
1569ac4628e9
hex3b817202c8

255574803144 has 128 divisors (see below), whose sum is σ = 677130451200. Its totient is φ = 80275599360.

The previous prime is 255574803137. The next prime is 255574803157. The reversal of 255574803144 is 441308475552.

It is a junction number, because it is equal to n+sod(n) for n = 255574803093 and 255574803102.

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, 4962277 + ... + 5013515.

It is an arithmetic number, because the mean of its divisors is an integer number (5290081650).

Almost surely, 2255574803144 is an apocalyptic number.

255574803144 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 255574803144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338565225600).

255574803144 is an abundant number, since it is smaller than the sum of its proper divisors (421555648056).

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

255574803144 is a wasteful number, since it uses less digits than its factorization.

255574803144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51463 (or 51459 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 255574803144 in words is "two hundred fifty-five billion, five hundred seventy-four million, eight hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 137 148 164 222 246 274 296 328 411 444 492 548 822 888 984 1096 1517 1644 3034 3288 4551 5069 5617 6068 9102 10138 11234 12136 15207 16851 18204 20276 22468 30414 33702 36408 40552 44936 51239 60828 67404 102478 121656 134808 153717 204956 207829 307434 409912 415658 614868 623487 831316 1229736 1246974 1662632 1895843 2100799 2493948 3791686 4201598 4987896 5687529 6302397 7019743 7583372 8403196 11375058 12604794 14039486 15166744 16806392 21059229 22750116 25209588 28078972 42118458 45500232 50419176 56157944 77729563 84236916 155459126 168473832 233188689 259730491 287809463 310918252 466377378 519460982 575618926 621836504 779191473 863428389 932754756 1038921964 1151237852 1558382946 1726856778 1865509512 2077843928 2302475704 3116765892 3453713556 6233531784 6907427112 10648950131 21297900262 31946850393 42595800524 63893700786 85191601048 127787401572 255574803144