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11316053682 = 23223732331607
BaseRepresentation
bin10101000100111110…
…10100011010110010
31002012122011002101100
422202133110122302
5141133402204212
65110514145230
7550264604103
oct124237243262
932178132340
1011316053682
11488768768a
122239882216
1310b455656b
14794c623aa
154636bebdc
hex2a27d46b2

11316053682 has 96 divisors (see below), whose sum is σ = 26062103808. Its totient is φ = 3541114368.

The previous prime is 11316053657. The next prime is 11316053713. The reversal of 11316053682 is 28635061311.

11316053682 is a `hidden beast` number, since 1 + 13 + 1 + 605 + 36 + 8 + 2 = 666.

11316053682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7040923 + ... + 7042529.

It is an arithmetic number, because the mean of its divisors is an integer number (271480248).

Almost surely, 211316053682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11316053682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031051904).

11316053682 is an abundant number, since it is smaller than the sum of its proper divisors (14746050126).

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

11316053682 is a wasteful number, since it uses less digits than its factorization.

11316053682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11316053682 in words is "eleven billion, three hundred sixteen million, fifty-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 233 414 438 466 657 699 1314 1398 1607 1679 2097 3214 3358 4194 4821 5037 5359 9642 10074 10718 14463 15111 16077 17009 28926 30222 32154 34018 36961 48231 51027 73922 96462 102054 110883 117311 153081 221766 234622 306162 332649 351933 374431 391207 665298 703866 748862 782414 1055799 1123293 1173621 2111598 2246586 2347242 2698153 3369879 3520863 5396306 6739758 7041726 8094459 8611913 16188918 17223826 24283377 25835739 27333463 48566754 51671478 54666926 77507217 82000389 155014434 164000778 246001167 492002334 628669649 1257339298 1886008947 3772017894 5658026841 11316053682