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11619138688 = 272112811531
BaseRepresentation
bin10101101001000110…
…11111110010000000
31002222202110101211221
422310203133302000
5142243444414223
65200542244424
7560635022623
oct126443376200
932882411757
1011619138688
114a22778963
122303286714
1311322945c1
147c31d9dba
154800dcb5d
hex2b48dfc80

11619138688 has 64 divisors (see below), whose sum is σ = 23355217440. Its totient is φ = 5757696000.

The previous prime is 11619138683. The next prime is 11619138731. The reversal of 11619138688 is 88683191611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×116191386882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11619138683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7588483 + ... + 7590013.

Almost surely, 211619138688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11619138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677608720).

11619138688 is an abundant number, since it is smaller than the sum of its proper divisors (11736078752).

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

11619138688 is a wasteful number, since it uses less digits than its factorization.

11619138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2025 counting only the distinct ones).

The product of its digits is 497664, while the sum is 52.

The spelling of 11619138688 in words is "eleven billion, six hundred nineteen million, one hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 211 281 422 562 844 1124 1531 1688 2248 3062 3376 4496 6124 6752 8992 12248 13504 17984 24496 27008 35968 48992 59291 97984 118582 195968 237164 323041 430211 474328 646082 860422 948656 1292164 1720844 1897312 2584328 3441688 3794624 5168656 6883376 7589248 10337312 13766752 20674624 27533504 41349248 55067008 90774521 181549042 363098084 726196168 1452392336 2904784672 5809569344 11619138688