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10786356512 = 25292487823
BaseRepresentation
bin10100000101110101…
…01011110100100000
31000211201102200110122
422002322223310200
5134042301402022
64542153015412
7531203342351
oct120272536440
930751380418
1010786356512
114635687328
1221103b4568
13102b8a4299
14744779d28
15431e3c742
hex282eabd20

10786356512 has 72 divisors (see below), whose sum is σ = 22065091776. Its totient is φ = 5190200064.

The previous prime is 10786356499. The next prime is 10786356517. The reversal of 10786356512 is 21565368701.

It is a super-2 number, since 2×107863565122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10786356517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13105733 + ... + 13106555.

It is an arithmetic number, because the mean of its divisors is an integer number (306459608).

Almost surely, 210786356512 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 10786356512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032545888).

10786356512 is an abundant number, since it is smaller than the sum of its proper divisors (11278735264).

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

10786356512 is an equidigital number, since it uses as much as digits as its factorization.

10786356512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 10786356512 in words is "ten billion, seven hundred eighty-six million, three hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 487 823 841 928 974 1646 1682 1948 3292 3364 3896 6584 6728 7792 13168 13456 14123 15584 23867 26336 26912 28246 47734 56492 95468 112984 190936 225968 381872 400801 409567 451936 692143 763744 801602 819134 1384286 1603204 1638268 2768572 3206408 3276536 5537144 6412816 6553072 11074288 11623229 12825632 13106144 22148576 23246458 46492916 92985832 185971664 337073641 371943328 674147282 1348294564 2696589128 5393178256 10786356512