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7942000753 = 3712716310369
BaseRepresentation
bin1110110010110000…
…10101000001110001
3202111111021102220001
413121120111001301
5112231123011003
63352024350001
7400544615101
oct73130250161
922444242801
107942000753
113406063795
121657915301
13997516a3b
14554acb201
1531739061d
hex1d9615071

7942000753 has 16 divisors (see below), whose sum is σ = 8272107520. Its totient is φ = 7618738176.

The previous prime is 7942000751. The next prime is 7942000769. The reversal of 7942000753 is 3570002497.

It is a 3-Lehmer number, since φ(7942000753) divides (7942000753-1)3.

It is a cyclic number.

It is not a de Polignac number, because 7942000753 - 21 = 7942000751 is a prime.

It is a super-3 number, since 3×79420007533 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7942000751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760753 + ... + 771121.

It is an arithmetic number, because the mean of its divisors is an integer number (517006720).

It is a Poulet number, since it divides 27942000752-1.

Almost surely, 27942000753 is an apocalyptic number.

It is an amenable number.

7942000753 is a deficient number, since it is larger than the sum of its proper divisors (330106767).

7942000753 is a wasteful number, since it uses less digits than its factorization.

7942000753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 7942000753 is about 89117.9036613856. The cubic root of 7942000753 is about 1995.1550018910.

The spelling of 7942000753 in words is "seven billion, nine hundred forty-two million, seven hundred fifty-three", and thus it is an aban number.

Divisors: 1 37 127 163 4699 6031 10369 20701 383653 765937 1316863 1690147 48723931 62535439 214648669 7942000753