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485568865584 = 2432112313328087
BaseRepresentation
bin1110001000011100010…
…10001110010100110000
31201102100010111010102200
413010032022032110300
530423421112144314
61011022305543200
750036564154225
oct7041612162460
91642303433380
10485568865584
11177a23a69630
127a134044b00
1336a3441919a
141970479d94c
15c96dc3b709
hex710e28e530

485568865584 has 120 divisors (see below), whose sum is σ = 1546911205632. Its totient is φ = 140744588160.

The previous prime is 485568865547. The next prime is 485568865609.

485568865584 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 68 + 8 + 6 + 558 + 4 = 666.

485568865584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4855688655842 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6627612 + ... + 6700475.

Almost surely, 2485568865584 is an apocalyptic number.

485568865584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

485568865584 is an abundant number, since it is smaller than the sum of its proper divisors (1061342340048).

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

485568865584 is a wasteful number, since it uses less digits than its factorization.

485568865584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328135 (or 13328126 counting only the distinct ones).

The product of its digits is 1474560000, while the sum is 72.

The spelling of 485568865584 in words is "four hundred eighty-five billion, five hundred sixty-eight million, eight hundred sixty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 6072 9108 12144 18216 36432 13328087 26656174 39984261 53312348 79968522 106624696 119952783 146608957 159937044 213249392 239905566 293217914 306546001 319874088 439826871 479811132 586435828 613092002 639748176 879653742 919638003 959622264 1172871656 1226184004 1319480613 1759307484 1839276006 1919244528 2345743312 2452368008 2638961226 2758914009 3372006011 3518614968 3678552012 4904736016 5277922452 5517828018 6744012022 7037229936 7357104024 10116018033 10555844904 11035656036 13488024044 14714208048 20232036066 21111689808 22071312072 26976048088 30348054099 40464072132 44142624144 53952096176 60696108198 80928144264 121392216396 161856288528 242784432792 485568865584