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11105711904 = 253716526357
BaseRepresentation
bin10100101011111001…
…11011011100100000
31001122222100121201010
422111330323130200
5140221030240104
65034001540520
7542131664550
oct122574733440
931588317633
1011105711904
114789980801
12219b344740
13107cabac81
14774d4b160
1544eec1489
hex295f3b720

11105711904 has 48 divisors (see below), whose sum is σ = 33317137728. Its totient is φ = 3173060352.

The previous prime is 11105711899. The next prime is 11105711909. The reversal of 11105711904 is 40911750111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11105711899) and next prime (11105711909).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11105711909) 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, 8262507 + ... + 8263850.

It is an arithmetic number, because the mean of its divisors is an integer number (694107036).

Almost surely, 211105711904 is an apocalyptic number.

11105711904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11105711904 is an abundant number, since it is smaller than the sum of its proper divisors (22211425824).

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

11105711904 is a wasteful number, since it uses less digits than its factorization.

11105711904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16526377 (or 16526369 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 30.

The spelling of 11105711904 in words is "eleven billion, one hundred five million, seven hundred eleven thousand, nine hundred four".

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 16526357 33052714 49579071 66105428 99158142 115684499 132210856 198316284 231368998 264421712 347053497 396632568 462737996 528843424 694106994 793265136 925475992 1388213988 1586530272 1850951984 2776427976 3701903968 5552855952 11105711904