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11107571712 = 21137125463
BaseRepresentation
bin10100101100001000…
…00001100000000000
31001200002212002212220
422112010001200000
5140222014243322
65034105451040
7542153541666
oct122604014000
931602762786
1011107571712
11478aa31036
12219baa0a80
1310802bc653
147752b2c36
1545023c55c
hex296101800

11107571712 has 96 divisors (see below), whose sum is σ = 30031223040. Its totient is φ = 3650232320.

The previous prime is 11107571701. The next prime is 11107571729. The reversal of 11107571712 is 21717570111.

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

It is a super-2 number, since 2×111075717122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423493 + ... + 448955.

It is an arithmetic number, because the mean of its divisors is an integer number (312825240).

Almost surely, 211107571712 is an apocalyptic number.

11107571712 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 11107571712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015611520).

11107571712 is an abundant number, since it is smaller than the sum of its proper divisors (18923651328).

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

11107571712 is an equidigital number, since it uses as much as digits as its factorization.

11107571712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25559 (or 25539 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 33.

The spelling of 11107571712 in words is "eleven billion, one hundred seven million, five hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1536 1704 2048 2272 3072 3408 4544 6144 6816 9088 13632 18176 25463 27264 36352 50926 54528 72704 76389 101852 109056 145408 152778 203704 218112 305556 407408 436224 611112 814816 1222224 1629632 1807873 2444448 3259264 3615746 4888896 5423619 6518528 7231492 9777792 10847238 13037056 14462984 19555584 21694476 26074112 28925968 39111168 43388952 52148224 57851936 78222336 86777904 115703872 156444672 173555808 231407744 347111616 462815488 694223232 925630976 1388446464 1851261952 2776892928 3702523904 5553785856 11107571712