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11180397696 = 2731319117877
BaseRepresentation
bin10100110100110011…
…10101010010000000
31001212011220001100120
422122121311102000
5140344140211241
65045230420240
7544026545436
oct123231652200
931764801316
1011180397696
1148180522a6
122200361680
13109240a550
14780c2cd56
15456825666
hex29a675480

11180397696 has 128 divisors (see below), whose sum is σ = 33665956800. Its totient is φ = 3259035648.

The previous prime is 11180397649. The next prime is 11180397703. The reversal of 11180397696 is 69679308111.

It is a tau number, because it is divible by the number of its divisors (128).

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, 35910 + ... + 153786.

Almost surely, 211180397696 is an apocalyptic number.

11180397696 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 11180397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832978400).

11180397696 is an abundant number, since it is smaller than the sum of its proper divisors (22485559104).

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

11180397696 is a wasteful number, since it uses less digits than its factorization.

11180397696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117926 (or 117914 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 11180397696 in words is "eleven billion, one hundred eighty million, three hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3648 3952 4992 5928 7296 7904 11856 15808 23712 31616 47424 94848 117877 235754 353631 471508 707262 943016 1414524 1532401 1886032 2239663 2829048 3064802 3772064 4479326 4597203 5658096 6129604 6718989 7544128 8958652 9194406 11316192 12259208 13437978 15088256 17917304 18388812 22632384 24518416 26875956 29115619 35834608 36777624 45264768 49036832 53751912 58231238 71669216 73555248 87346857 98073664 107503824 116462476 143338432 147110496 174693714 196147328 215007648 232924952 286676864 294220992 349387428 430015296 465849904 588441984 698774856 860030592 931699808 1397549712 1863399616 2795099424 3726799232 5590198848 11180397696