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10431596728 = 237298972173
BaseRepresentation
bin10011011011100010…
…11000100010111000
3222220222220000112101
421231301120202320
5132330442043403
64443041153144
7516335052310
oct115561304270
928828800471
1010431596728
114473401023
12203162b7b4
13ca3242757
1470d5d0440
15410c1371d
hex26dc588b8

10431596728 has 64 divisors (see below), whose sum is σ = 23384376000. Its totient is φ = 4267963392.

The previous prime is 10431596701. The next prime is 10431596737. The reversal of 10431596728 is 82769513401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108450 + ... + 180622.

It is an arithmetic number, because the mean of its divisors is an integer number (365380875).

It is a 1-persistent number, because it is pandigital, but 2⋅10431596728 = 20863193456 is not.

Almost surely, 210431596728 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 10431596728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692188000).

10431596728 is an abundant number, since it is smaller than the sum of its proper divisors (12952779272).

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

10431596728 is a wasteful number, since it uses less digits than its factorization.

10431596728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72304 (or 72300 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10431596728 in words is "ten billion, four hundred thirty-one million, five hundred ninety-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 89 116 178 203 232 356 406 623 712 812 1246 1624 2492 2581 4984 5162 10324 18067 20648 36134 72173 72268 144346 144536 288692 505211 577384 1010422 2020844 2093017 4041688 4186034 6423397 8372068 12846794 14651119 16744136 25693588 29302238 44963779 51387176 58604476 89927558 117208952 179855116 186278513 359710232 372557026 745114052 1303949591 1490228104 2607899182 5215798364 10431596728