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10639540736 = 291110318341
BaseRepresentation
bin10011110100010101…
…01000001000000000
31000110111011200002022
421322022220020000
5133242210300421
64515430141012
7524441414126
oct117212501000
930414150068
1010639540736
11456a81a480
12208b1b1768
13100734b846
1472d07d916
154240db7ab
hex27a2a8200

10639540736 has 80 divisors (see below), whose sum is σ = 23417304768. Its totient is φ = 4788940800.

The previous prime is 10639540699. The next prime is 10639540757. The reversal of 10639540736 is 63704593601.

It is a happy number.

It is a super-2 number, since 2×106395407362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570926 + ... + 589266.

Almost surely, 210639540736 is an apocalyptic number.

10639540736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10639540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708652384).

10639540736 is an abundant number, since it is smaller than the sum of its proper divisors (12777764032).

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

10639540736 is a wasteful number, since it uses less digits than its factorization.

10639540736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18473 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 10639540736 in words is "ten billion, six hundred thirty-nine million, five hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 176 206 256 352 412 512 704 824 1133 1408 1648 2266 2816 3296 4532 5632 6592 9064 13184 18128 18341 26368 36256 36682 52736 72512 73364 145024 146728 201751 290048 293456 403502 580096 586912 807004 1173824 1614008 1889123 2347648 3228016 3778246 4695296 6456032 7556492 9390592 12912064 15112984 20780353 25824128 30225968 41560706 51648256 60451936 83121412 103296512 120903872 166242824 241807744 332485648 483615488 664971296 967230976 1329942592 2659885184 5319770368 10639540736