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11312830176 = 253354733223
BaseRepresentation
bin10101000100100110…
…00001011011100000
31002012102002022120020
422202103001123200
5141132041031201
65110321113440
7550225320114
oct124223013340
932172068506
1011312830176
11488588582a
122238788880
1310b399826b
14794663744
15463284a36
hex2a24c16e0

11312830176 has 48 divisors (see below), whose sum is σ = 29705445504. Its totient is φ = 3769766784.

The previous prime is 11312830171. The next prime is 11312830229. The reversal of 11312830176 is 67103821311.

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

It is a super-3 number, since 3×113128301763 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312830171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323901 + ... + 357123.

It is an arithmetic number, because the mean of its divisors is an integer number (618863448).

Almost surely, 211312830176 is an apocalyptic number.

11312830176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11312830176 is an abundant number, since it is smaller than the sum of its proper divisors (18392615328).

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

11312830176 is a wasteful number, since it uses less digits than its factorization.

11312830176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36783 (or 36775 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 11312830176 in words is "eleven billion, three hundred twelve million, eight hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3547 7094 10641 14188 21282 28376 33223 42564 56752 66446 85128 99669 113504 132892 170256 199338 265784 340512 398676 531568 797352 1063136 1594704 3189408 117841981 235683962 353525943 471367924 707051886 942735848 1414103772 1885471696 2828207544 3770943392 5656415088 11312830176