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11326071792 = 2437232515839
BaseRepresentation
bin10101000110001011…
…00010001111110000
31002020100000001122110
422203011202033300
5141143433244132
65111513005320
7550446010320
oct124305421760
932210001573
1011326071792
1148922aa412
1222410b3840
1310b6653439
1479630d280
154644ed1cc
hex2a31623f0

11326071792 has 160 divisors (see below), whose sum is σ = 35037757440. Its totient is φ = 3082464000.

The previous prime is 11326071719. The next prime is 11326071793. The reversal of 11326071792 is 29717062311.

It is a self number, because there is not a number n which added to its sum of digits gives 11326071792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11326071793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936809 + ... + 1942647.

It is an arithmetic number, because the mean of its divisors is an integer number (218985984).

Almost surely, 211326071792 is an apocalyptic number.

11326071792 is a gapful number since it is divisible by the number (12) 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 11326071792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518878720).

11326071792 is an abundant number, since it is smaller than the sum of its proper divisors (23711685648).

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

11326071792 is a wasteful number, since it uses less digits than its factorization.

11326071792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 11326071792 in words is "eleven billion, three hundred twenty-six million, seventy-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 251 276 322 336 368 483 502 552 644 753 966 1004 1104 1288 1506 1757 1932 2008 2576 3012 3514 3864 4016 5271 5773 5839 6024 7028 7728 10542 11546 11678 12048 14056 17319 17517 21084 23092 23356 28112 34638 35034 40411 40873 42168 46184 46712 69276 70068 80822 81746 84336 92368 93424 121233 122619 134297 138552 140136 161644 163492 242466 245238 268594 277104 280272 323288 326984 402891 484932 490476 537188 646576 653968 805782 940079 969864 980952 1074376 1465589 1611564 1880158 1939728 1961904 2148752 2820237 2931178 3223128 3760316 4396767 5640474 5862356 6446256 7520632 8793534 10259123 11280948 11724712 15041264 17587068 20518246 22561896 23449424 30777369 33708547 35174136 41036492 45123792 61554738 67417094 70348272 82072984 101125641 123109476 134834188 164145968 202251282 235959829 246218952 269668376 404502564 471919658 492437904 539336752 707879487 809005128 943839316 1415758974 1618010256 1887678632 2831517948 3775357264 5663035896 11326071792