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42764107904 = 27726818257
BaseRepresentation
bin100111110100111100…
…001000000010000000
311002101022012202201022
4213310330020002000
51200040102423104
631351235125012
73042506630300
oct476474100200
9132338182638
1042764107904
1117155251241
128355743768
13405692397b
1420d972b600
1511a44d1bbe
hex9f4f08080

42764107904 has 48 divisors (see below), whose sum is σ = 99103380030. Its totient is φ = 18327472128.

The previous prime is 42764107877. The next prime is 42764107913. The reversal of 42764107904 is 40970146724.

It can be written as a sum of positive squares in only one way, i.e., 26647297600 + 16116810304 = 163240^2 + 126952^2 .

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, 3402857 + ... + 3415400.

Almost surely, 242764107904 is an apocalyptic number.

It is an amenable number.

42764107904 is an abundant number, since it is smaller than the sum of its proper divisors (56339272126).

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

42764107904 is an equidigital number, since it uses as much as digits as its factorization.

42764107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818285 (or 6818266 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 42764107904 in words is "forty-two billion, seven hundred sixty-four million, one hundred seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 6818257 13636514 27273028 47727799 54546056 95455598 109092112 190911196 218184224 334094593 381822392 436368448 668189186 763644784 872736896 1336378372 1527289568 2672756744 3054579136 5345513488 6109158272 10691026976 21382053952 42764107904