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146756468928 = 263276472
BaseRepresentation
bin1000100010101101011…
…1100000000011000000
3112000210201012001201010
42020223113200003000
54401024124001203
6151230300240520
713413522255306
oct2105327400300
9460721161633
10146756468928
115726a223263
1224538540140
1310aba5abac4
147162ab4276
153c3de83303
hex222b5e00c0

146756468928 has 42 divisors (see below), whose sum is σ = 388307202556. Its totient is φ = 48917053568.

The previous prime is 146756468899. The next prime is 146756468951. The reversal of 146756468928 is 829864657641.

It is a super-2 number, since 2×1467564689282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5294401 + ... + 5322047.

Almost surely, 2146756468928 is an apocalyptic number.

It is an amenable number.

146756468928 is an abundant number, since it is smaller than the sum of its proper divisors (241550733628).

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

146756468928 is an frugal number, since it uses more digits than its factorization.

146756468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55309 (or 27652 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 146756468928 in words is "one hundred forty-six billion, seven hundred fifty-six million, four hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 27647 55294 82941 110588 165882 221176 331764 442352 663528 884704 1327056 1769408 2654112 5308224 764356609 1528713218 2293069827 3057426436 4586139654 6114852872 9172279308 12229705744 18344558616 24459411488 36689117232 48918822976 73378234464 146756468928