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10430856396 = 22321738344501
BaseRepresentation
bin10011011011011101…
…00011110011001100
3222220221111101222200
421231232203303030
5132330244401041
64443013241500
7516325550022
oct115556436314
928827441880
1010430856396
114472a45884
122031333290
13ca304379c
1470d47a712
15410b191b6
hex26dba3ccc

10430856396 has 72 divisors (see below), whose sum is σ = 27991401984. Its totient is φ = 3263808000.

The previous prime is 10430856391. The next prime is 10430856433. The reversal of 10430856396 is 69365803401.

10430856396 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 8 + 5 + 639 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (10430856391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212146 + ... + 256646.

It is an arithmetic number, because the mean of its divisors is an integer number (388769472).

Almost surely, 210430856396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430856396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995700992).

10430856396 is an abundant number, since it is smaller than the sum of its proper divisors (17560545588).

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

10430856396 is a wasteful number, since it uses less digits than its factorization.

10430856396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44911 (or 44906 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10430856396 in words is "ten billion, four hundred thirty million, eight hundred fifty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 383 612 766 1149 1532 2298 3447 4596 6511 6894 13022 13788 19533 26044 39066 44501 58599 78132 89002 117198 133503 178004 234396 267006 400509 534012 756517 801018 1513034 1602036 2269551 3026068 4539102 6808653 9078204 13617306 17043883 27234612 34087766 51131649 68175532 102263298 153394947 204526596 289746011 306789894 579492022 613579788 869238033 1158984044 1738476066 2607714099 3476952132 5215428198 10430856396