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427650056724 = 2231113367242371
BaseRepresentation
bin1100011100100011110…
…11100000001000010100
31111212211200000210012210
412032101323200020110
524001311403303344
6524243144513420
742616365335202
oct6162173401024
91455750023183
10427650056724
11155402343250
126aa6b17b870
1331433bc2957
14169ac49c072
15b1ce087db9
hex6391ee0214

427650056724 has 48 divisors (see below), whose sum is σ = 1088649709056. Its totient is φ = 129580696800.

The previous prime is 427650056653. The next prime is 427650056753.

427650056724 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4276500567242 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643259 + ... + 1885629.

It is an arithmetic number, because the mean of its divisors is an integer number (22680202272).

Almost surely, 2427650056724 is an apocalyptic number.

427650056724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427650056724 is an abundant number, since it is smaller than the sum of its proper divisors (660999652332).

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

427650056724 is a wasteful number, since it uses less digits than its factorization.

427650056724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255756 (or 255754 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 427650056724 in words is "four hundred twenty-seven billion, six hundred fifty million, fifty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 13367 26734 40101 53468 80202 147037 160404 242371 294074 441111 484742 588148 727113 882222 969484 1454226 1764444 2666081 2908452 5332162 7998243 10664324 15996486 31992972 3239773157 6479546314 9719319471 12959092628 19438638942 35637504727 38877277884 71275009454 106912514181 142550018908 213825028362 427650056724