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264252236454560 = 2552956950913029
BaseRepresentation
bin111100000101011000000100…
…101011110101101010100000
31021122122021012201002210111102
4330011120010223311222200
5234114002040013021220
62334003445044333532
7106442410522045664
oct7405300453655240
91248567181083442
10264252236454560
1177220820489722
1225779a2b3a42a8
13b45ab5714b173
144937c3b1188a4
152083c18e34775
hexf05604af5aa0

264252236454560 has 48 divisors (see below), whose sum is σ = 645823353760200. Its totient is φ = 102056036146176.

The previous prime is 264252236454509. The next prime is 264252236454571. The reversal of 264252236454560 is 65454632252462.

It can be written as a sum of positive squares in 4 ways, for example, as 195645008883856 + 68607227570704 = 13987316^2 + 8282948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264252236454496 and 264252236454505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28475451875 + ... + 28475461154.

Almost surely, 2264252236454560 is an apocalyptic number.

264252236454560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264252236454560 is an abundant number, since it is smaller than the sum of its proper divisors (381571117305640).

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

264252236454560 is a wasteful number, since it uses less digits than its factorization.

264252236454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56950913073 (or 56950913065 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 56.

The spelling of 264252236454560 in words is "two hundred sixty-four trillion, two hundred fifty-two billion, two hundred thirty-six million, four hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 56950913029 113901826058 227803652116 284754565145 455607304232 569509130290 911214608464 1139018260580 1651576477841 1822429216928 2278036521160 3303152955682 4556073042320 6606305911364 8257882389205 9112146084640 13212611822728 16515764778410 26425223645456 33031529556820 52850447290912 66063059113640 132126118227280 264252236454560