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10296840972 = 22311132159051
BaseRepresentation
bin10011001011011110…
…10101001100001100
3222120121022201101110
421211233111030030
5132041442402342
64421425012020
7513110463345
oct114557251414
928517281343
1010296840972
114404331030
121bb4484010
13c81350412
146d97530cc
15403e95c9c
hex265bd530c

10296840972 has 48 divisors (see below), whose sum is σ = 26230425984. Its totient is φ = 3117840000.

The previous prime is 10296840941. The next prime is 10296840973. The reversal of 10296840972 is 27904869201.

10296840972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10296840973) 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 15 ways as a sum of consecutive naturals, for example, 144847 + ... + 203897.

It is an arithmetic number, because the mean of its divisors is an integer number (546467208).

Almost surely, 210296840972 is an apocalyptic number.

10296840972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10296840972 is an abundant number, since it is smaller than the sum of its proper divisors (15933585012).

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

10296840972 is a wasteful number, since it uses less digits than its factorization.

10296840972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60390 (or 60388 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10296840972 in words is "ten billion, two hundred ninety-six million, eight hundred forty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1321 2642 3963 5284 7926 14531 15852 29062 43593 58124 59051 87186 118102 174372 177153 236204 354306 649561 708612 1299122 1948683 2598244 3897366 7794732 78006371 156012742 234019113 312025484 468038226 858070081 936076452 1716140162 2574210243 3432280324 5148420486 10296840972