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427001131464 = 2337323379907
BaseRepresentation
bin1100011011010110100…
…00000011000111001000
31111211011102221222002220
412031223100003013020
523443444242201324
6524054524054040
742564325505625
oct6155320030710
91454142858086
10427001131464
111550aa009086
126a909994320
133135c626bcb
141694a21b34c
15b192103b79
hex636b4031c8

427001131464 has 96 divisors (see below), whose sum is σ = 1085647698720. Its totient is φ = 139953235968.

The previous prime is 427001131441. The next prime is 427001131493. The reversal of 427001131464 is 464131100724.

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, 43095999 + ... + 43105905.

It is an arithmetic number, because the mean of its divisors is an integer number (11308830195).

Almost surely, 2427001131464 is an apocalyptic number.

It is an amenable number.

427001131464 is an abundant number, since it is smaller than the sum of its proper divisors (658646567256).

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

427001131464 is a wasteful number, since it uses less digits than its factorization.

427001131464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 427001131464 in words is "four hundred twenty-seven billion, one million, one hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 337 438 584 674 876 1011 1348 1752 2022 2696 4044 5329 8088 9907 10658 15987 19814 21316 24601 29721 31974 39628 42632 49202 59442 63948 73803 79256 98404 118884 127896 147606 196808 237768 295212 590424 723211 1446422 1795873 2169633 2892844 3338659 3591746 4339266 5387619 5785688 6677318 7183492 8678532 10015977 10775238 13354636 14366984 17357064 20031954 21550476 26709272 40063908 43100952 52794403 80127816 105588806 158383209 211177612 243722107 316766418 422355224 487444214 633532836 731166321 974888428 1267065672 1462332642 1949776856 2924665284 5849330568 17791713811 35583427622 53375141433 71166855244 106750282866 142333710488 213500565732 427001131464