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492348037640 = 235371132943961
BaseRepresentation
bin1110010101000100011…
…10101101101000001000
31202001211120200202020012
413022202032231220020
531031312044201030
61014103115051052
750366562161234
oct7124216555010
91661746622205
10492348037640
1117a8926a4968
127b506440a88
1337574a548b4
1419b88c755c4
15cc18e85095
hex72a23ada08

492348037640 has 64 divisors (see below), whose sum is σ = 1147791904560. Its totient is φ = 189920747520.

The previous prime is 492348037633. The next prime is 492348037673. The reversal of 492348037640 is 46730843294.

It can be written as a sum of positive squares in 8 ways, for example, as 160671102244 + 331676935396 = 400838^2 + 575914^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304741 + ... + 1639220.

Almost surely, 2492348037640 is an apocalyptic number.

492348037640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492348037640 is an abundant number, since it is smaller than the sum of its proper divisors (655443866920).

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

492348037640 is a wasteful number, since it uses less digits than its factorization.

492348037640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944122 (or 2944118 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 492348037640 in words is "four hundred ninety-two billion, three hundred forty-eight million, thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 113 148 185 226 296 370 452 565 740 904 1130 1480 2260 4181 4520 8362 16724 20905 33448 41810 83620 167240 2943961 5887922 11775844 14719805 23551688 29439610 58879220 108926557 117758440 217853114 332667593 435706228 544632785 665335186 871412456 1089265570 1330670372 1663337965 2178531140 2661340744 3326675930 4357062280 6653351860 12308700941 13306703720 24617401882 49234803764 61543504705 98469607528 123087009410 246174018820 492348037640