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486007292232 = 233272114972
BaseRepresentation
bin1110001001010000100…
…10101100000101001000
31201110110200110111201200
413010220102230011020
530430320331322412
61011134010544200
750053466552100
oct7045022540510
91643420414650
10486007292232
111781294a0000
127a236a38060
1336aa41c3137
1419746ac8200
15c9974909dc
hex71284ac148

486007292232 has 540 divisors, whose sum is σ = 1701820262025. Its totient is φ = 124934261760.

The previous prime is 486007292179. The next prime is 486007292237. The reversal of 486007292232 is 232292700684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

486007292232 is a `hidden beast` number, since 4 + 8 + 600 + 7 + 2 + 9 + 2 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 484741782756 + 1265509476 = 696234^2 + 35574^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=492954.

It is not an unprimeable number, because it can be changed into a prime (486007292237) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5010384408 + ... + 5010384504.

Almost surely, 2486007292232 is an apocalyptic number.

486007292232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486007292232

486007292232 is an abundant number, since it is smaller than the sum of its proper divisors (1215812969793).

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

486007292232 is an equidigital number, since it uses as much as digits as its factorization.

486007292232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 486007292232 in words is "four hundred eighty-six billion, seven million, two hundred ninety-two thousand, two hundred thirty-two".