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11603897376 = 253379733679
BaseRepresentation
bin10101100111010010…
…10110110000100000
31002221200210001200220
422303221112300200
5142231044204001
65155235443040
7560361333411
oct126351266040
932850701626
1011603897376
114a15108935
1222ba156480
13112c089186
147c118d808
1547dacbc36
hex2b3a56c20

11603897376 has 96 divisors (see below), whose sum is σ = 31606928640. Its totient is φ = 3724517376.

The previous prime is 11603897369. The next prime is 11603897377. The reversal of 11603897376 is 67379830611.

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

It is not an unprimeable number, because it can be changed into a prime (11603897377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327705 + ... + 361383.

It is an arithmetic number, because the mean of its divisors is an integer number (329238840).

Almost surely, 211603897376 is an apocalyptic number.

11603897376 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 11603897376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15803464320).

11603897376 is an abundant number, since it is smaller than the sum of its proper divisors (20003031264).

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

11603897376 is a wasteful number, since it uses less digits than its factorization.

11603897376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33826 (or 33818 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 11603897376 in words is "eleven billion, six hundred three million, eight hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 97 111 148 194 222 291 296 388 444 582 592 776 888 1164 1184 1552 1776 2328 3104 3552 3589 4656 7178 9312 10767 14356 21534 28712 33679 43068 57424 67358 86136 101037 114848 134716 172272 202074 269432 344544 404148 538864 808296 1077728 1246123 1616592 2492246 3233184 3266863 3738369 4984492 6533726 7476738 9800589 9968984 13067452 14953476 19601178 19937968 26134904 29906952 39202356 39875936 52269808 59813904 78404712 104539616 119627808 120873931 156809424 241747862 313618848 362621793 483495724 725243586 966991448 1450487172 1933982896 2900974344 3867965792 5801948688 11603897376