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11444365932 = 223172913114767
BaseRepresentation
bin10101010100010001…
…10010101001101100
31002112120121000200220
422222020302221230
5141414224202212
65131340251340
7553413335226
oct125210625154
932476530626
1011444365932
11494305656a
122274840b50
131105000a7c
147a7d03416
1546eab838c
hex2aa232a6c

11444365932 has 96 divisors (see below), whose sum is σ = 29474565120. Its totient is φ = 3439887360.

The previous prime is 11444365901. The next prime is 11444365987. The reversal of 11444365932 is 23956344411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767613 + ... + 782379.

It is an arithmetic number, because the mean of its divisors is an integer number (307026720).

Almost surely, 211444365932 is an apocalyptic number.

11444365932 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 11444365932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737282560).

11444365932 is an abundant number, since it is smaller than the sum of its proper divisors (18030199188).

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

11444365932 is a wasteful number, since it uses less digits than its factorization.

11444365932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951 (or 14949 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 11444365932 in words is "eleven billion, four hundred forty-four million, three hundred sixty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 131 174 204 262 348 393 493 524 786 986 1479 1572 1972 2227 2958 3799 4454 5916 6681 7598 8908 11397 13362 14767 15196 22794 26724 29534 44301 45588 59068 64583 88602 129166 177204 193749 251039 258332 387498 428243 502078 753117 774996 856486 1004156 1284729 1506234 1712972 1934477 2569458 3012468 3868954 5138916 5803431 7280131 7737908 11606862 14560262 21840393 23213724 29120524 32886109 43680786 56099833 65772218 87361572 98658327 112199666 131544436 168299499 197316654 224399332 336598998 394633308 673197996 953697161 1907394322 2861091483 3814788644 5722182966 11444365932