Search a number
-
+
255490526976 = 2831767329077
BaseRepresentation
bin1110110111110001101…
…1000000111100000000
3220102110120111112012020
43231330123000330000
513141221033330401
6313212024401440
724313202435016
oct3557433007400
9812416445166
10255490526976
1199397818453
1241623316280
131b128736b19
14c519ac08b6
1569a4d66d36
hex3b7c6c0f00

255490526976 has 144 divisors (see below), whose sum is σ = 721070661024. Its totient is φ = 80032038912.

The previous prime is 255490526957. The next prime is 255490526989. The reversal of 255490526976 is 679625094552.

It is a congruent number.

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, 8772150 + ... + 8801226.

It is an arithmetic number, because the mean of its divisors is an integer number (5007435146).

Almost surely, 2255490526976 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 255490526976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360535330512).

255490526976 is an abundant number, since it is smaller than the sum of its proper divisors (465580134048).

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

255490526976 is a wasteful number, since it uses less digits than its factorization.

255490526976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29786 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 60.

The spelling of 255490526976 in words is "two hundred fifty-five billion, four hundred ninety million, five hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 673 768 816 1088 1346 1632 2019 2176 2692 3264 4038 4352 5384 6528 8076 10768 11441 13056 16152 21536 22882 29077 32304 34323 43072 45764 58154 64608 68646 86144 87231 91528 116308 129216 137292 172288 174462 183056 232616 258432 274584 348924 366112 465232 494309 516864 549168 697848 732224 930464 988618 1098336 1395696 1464448 1482927 1860928 1977236 2196672 2791392 2928896 2965854 3721856 3954472 4393344 5582784 5931708 7443712 7908944 8786688 11165568 11863416 15817888 19568821 22331136 23726832 31635776 39137642 47453664 58706463 63271552 78275284 94907328 117412926 126543104 156550568 189814656 234825852 313101136 332669957 379629312 469651704 626202272 665339914 939303408 998009871 1252404544 1330679828 1878606816 1996019742 2504809088 2661359656 3757213632 3992039484 5009618176 5322719312 7514427264 7984078968 10645438624 15028854528 15968157936 21290877248 31936315872 42581754496 63872631744 85163508992 127745263488 255490526976