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255051345060 = 223254995714973
BaseRepresentation
bin1110110110001000111…
…1101010110010100100
3220101022222002202212100
43231202033222302210
513134321121020220
6313100255252100
724266260443201
oct3554217526244
9811288082770
10255051345060
1199191920596
124152021a030
131b088757175
14c4b763aca8
15697b513d90
hex3b623eaca4

255051345060 has 144 divisors (see below), whose sum is σ = 776719944000. Its totient is φ = 67744892160.

The previous prime is 255051345023. The next prime is 255051345071. The reversal of 255051345060 is 60543150552.

255051345060 is a `hidden beast` number, since 2 + 550 + 5 + 1 + 3 + 45 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51284734 + ... + 51289706.

It is an arithmetic number, because the mean of its divisors is an integer number (5393888500).

Almost surely, 2255051345060 is an apocalyptic number.

255051345060 is a gapful number since it is divisible by the number (20) 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 255051345060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388359972000).

255051345060 is an abundant number, since it is smaller than the sum of its proper divisors (521668598940).

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

255051345060 is a wasteful number, since it uses less digits than its factorization.

255051345060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 255051345060 in words is "two hundred fifty-five billion, fifty-one million, three hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 499 571 998 1142 1497 1713 1996 2284 2495 2855 2994 3426 4491 4973 4990 5139 5710 5988 6852 7485 8565 8982 9946 9980 10278 11420 14919 14970 17130 17964 19892 20556 22455 24865 25695 29838 29940 34260 44757 44910 49730 51390 59676 74595 89514 89820 99460 102780 149190 179028 223785 284929 298380 447570 569858 854787 895140 1139716 1424645 1709574 2481527 2564361 2839583 2849290 3419148 4273935 4963054 5128722 5679166 5698580 7444581 8518749 8547870 9926108 10257444 11358332 12407635 12821805 14197915 14889162 17037498 17095740 22333743 24815270 25556247 25643610 28395830 29778324 34074996 37222905 42593745 44667486 49630540 51112494 51287220 56791660 74445810 85187490 89334972 102224988 111668715 127781235 148891620 170374980 223337430 255562470 446674860 511124940 1416951917 2833903834 4250855751 5667807668 7084759585 8501711502 12752567253 14169519170 17003423004 21254278755 25505134506 28339038340 42508557510 51010269012 63762836265 85017115020 127525672530 255051345060