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427739590176 = 25331143729701
BaseRepresentation
bin1100011100101110100…
…01000010111000100000
31111220001220111120000120
412032113101002320200
524002002313341201
6524300103520240
742621533345523
oct6162721027040
91456056446016
10427739590176
11155448936038
126aa95159080
1331449610422
14169ba326bba
15b1d6d71536
hex6397442e20

427739590176 has 48 divisors (see below), whose sum is σ = 1159036316928. Its totient is φ = 137980512000.

The previous prime is 427739590123. The next prime is 427739590177. The reversal of 427739590176 is 671095937724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4277395901762 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427739590177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71861875 + ... + 71867826.

It is an arithmetic number, because the mean of its divisors is an integer number (24146589936).

Almost surely, 2427739590176 is an apocalyptic number.

It is an amenable number.

427739590176 is an abundant number, since it is smaller than the sum of its proper divisors (731296726752).

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

427739590176 is a wasteful number, since it uses less digits than its factorization.

427739590176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143729745 (or 143729737 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 427739590176 in words is "four hundred twenty-seven billion, seven hundred thirty-nine million, five hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 143729701 287459402 431189103 574918804 862378206 1149837608 1724756412 2299675216 3449512824 4455620731 4599350432 6899025648 8911241462 13366862193 13798051296 17822482924 26733724386 35644965848 53467448772 71289931696 106934897544 142579863392 213869795088 427739590176