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3728793601 = 137916992137
BaseRepresentation
bin1101111001000000…
…1110000000000001
3100121212101100012201
43132100032000001
530114032343401
61414000553201
7161255136241
oct33620160001
910555340181
103728793601
111643896905
12880922801
13475695760
14275317b21
1516c552b01
hexde40e001

3728793601 has 16 divisors (see below), whose sum is σ = 4070752000. Its totient is φ = 3394804608.

The previous prime is 3728793589. The next prime is 3728793623. The reversal of 3728793601 is 1063978273.

It is a happy number.

It is not a de Polignac number, because 3728793601 - 27 = 3728793473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3728793631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743805 + ... + 1745941.

It is an arithmetic number, because the mean of its divisors is an integer number (254422000).

Almost surely, 23728793601 is an apocalyptic number.

It is an amenable number.

3728793601 is a deficient number, since it is larger than the sum of its proper divisors (341958399).

3728793601 is a wasteful number, since it uses less digits than its factorization.

3728793601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928.

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 3728793601 is about 61063.8485603389. The cubic root of 3728793601 is about 1550.6821279285.

The spelling of 3728793601 in words is "three billion, seven hundred twenty-eight million, seven hundred ninety-three thousand, six hundred one".

Divisors: 1 13 79 1027 1699 2137 22087 27781 134221 168823 1744873 2194699 3630763 47199919 286830277 3728793601