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10297846728 = 23321311001973
BaseRepresentation
bin10011001011100110…
…01010101111001000
3222120200012211000200
421211303022233020
5132042222043403
64421502332200
7513122152521
oct114563125710
928520184020
1010297846728
114404958734
121bb488a060
13c81613140
146d9935848
154040e3ca3
hex265ccabc8

10297846728 has 48 divisors (see below), whose sum is σ = 30035389020. Its totient is φ = 3168567936.

The previous prime is 10297846723. The next prime is 10297846739. The reversal of 10297846728 is 82764879201.

It is a happy number.

10297846728 is a `hidden beast` number, since 102 + 9 + 78 + 467 + 2 + 8 = 666.

10297846728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10285610724 + 12236004 = 101418^2 + 3498^2 .

It is not an unprimeable number, because it can be changed into a prime (10297846723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5500051 + ... + 5501922.

Almost surely, 210297846728 is an apocalyptic number.

10297846728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10297846728 is an abundant number, since it is smaller than the sum of its proper divisors (19737542292).

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

10297846728 is a wasteful number, since it uses less digits than its factorization.

10297846728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001998 (or 11001991 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10297846728 in words is "ten billion, two hundred ninety-seven million, eight hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11001973 22003946 33005919 44007892 66011838 88015784 99017757 132023676 143025649 198035514 264047352 286051298 396071028 429076947 572102596 792142056 858153894 1144205192 1287230841 1716307788 2574461682 3432615576 5148923364 10297846728