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11472943776 = 253719798627
BaseRepresentation
bin10101010111101011…
…10011101010100000
31002121120100221010120
422223311303222200
5141444033200101
65134241000240
7554211261450
oct125365635240
932546327116
1011472943776
1149581a5518
122282323080
13110abc8638
147aba21d60
15472360b36
hex2abd73aa0

11472943776 has 96 divisors (see below), whose sum is σ = 34440215040. Its totient is φ = 3275947776.

The previous prime is 11472943759. The next prime is 11472943817. The reversal of 11472943776 is 67734927411.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1325575 + ... + 1334201.

It is an arithmetic number, because the mean of its divisors is an integer number (358752240).

Almost surely, 211472943776 is an apocalyptic number.

11472943776 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 11472943776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220107520).

11472943776 is an abundant number, since it is smaller than the sum of its proper divisors (22967271264).

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

11472943776 is a wasteful number, since it uses less digits than its factorization.

11472943776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626 (or 10618 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The spelling of 11472943776 in words is "eleven billion, four hundred seventy-two million, nine hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1979 3958 5937 7916 8627 11874 13853 15832 17254 23748 25881 27706 31664 34508 41559 47496 51762 55412 60389 63328 69016 83118 94992 103524 110824 120778 138032 166236 181167 189984 207048 221648 241556 276064 332472 362334 414096 443296 483112 664944 724668 828192 966224 1329888 1449336 1932448 2898672 5797344 17072833 34145666 51218499 68291332 102436998 119509831 136582664 204873996 239019662 273165328 358529493 409747992 478039324 546330656 717058986 819495984 956078648 1434117972 1638991968 1912157296 2868235944 3824314592 5736471888 11472943776