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460661856488 = 231797149234361
BaseRepresentation
bin1101011010000011001…
…01100001100011101000
31122001001022112222011022
412231001211201203220
530021413413401423
6551343010152012
745165426113321
oct6550145414350
91561038488138
10460661856488
11168402676a99
1275342882608
1334595241092
1418420901448
15beb22d6dc8
hex6b419618e8

460661856488 has 64 divisors (see below), whose sum is σ = 930182778000. Its totient is φ = 213106360320.

The previous prime is 460661856481. The next prime is 460661856491. The reversal of 460661856488 is 884658166064.

It can be written as a sum of positive squares in 8 ways, for example, as 251664762244 + 208997094244 = 501662^2 + 457162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 460661856488.

It is not an unprimeable number, because it can be changed into a prime (460661856481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848428 + ... + 2082788.

Almost surely, 2460661856488 is an apocalyptic number.

It is an amenable number.

460661856488 is an abundant number, since it is smaller than the sum of its proper divisors (469520921512).

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

460661856488 is a wasteful number, since it uses less digits than its factorization.

460661856488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234630 (or 234626 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 62.

The spelling of 460661856488 in words is "four hundred sixty billion, six hundred sixty-one million, eight hundred fifty-six thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 17 34 68 97 136 149 194 298 388 596 776 1192 1649 2533 3298 5066 6596 10132 13192 14453 20264 28906 57812 115624 234361 245701 468722 491402 937444 982804 1874888 1965608 3984137 7968274 15936548 22733017 31873096 34919789 45466034 69839578 90932068 139679156 181864136 279358312 386461289 593636413 772922578 1187272826 1545845156 2374545652 3091690312 3387219533 4749091304 6774439066 13548878132 27097756264 57582732061 115165464122 230330928244 460661856488