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11820741264 = 243397282091
BaseRepresentation
bin10110000001001001…
…00011001010010000
31010111210210212121000
423000210203022100
5143202102210024
65232543302000
7565633433343
oct130044431220
933453725530
1011820741264
115016555962
12235a8aa900
131164c90177
14801cb845a
15492b61cc9
hex2c0923290

11820741264 has 80 divisors (see below), whose sum is σ = 34279819840. Its totient is φ = 3899612160.

The previous prime is 11820741253. The next prime is 11820741269. The reversal of 11820741264 is 46214702811.

It is a happy number.

11820741264 is a `hidden beast` number, since 1 + 182 + 0 + 7 + 412 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11820741269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99142 + ... + 182949.

It is an arithmetic number, because the mean of its divisors is an integer number (428497748).

Almost surely, 211820741264 is an apocalyptic number.

It is an amenable number.

11820741264 is an abundant number, since it is smaller than the sum of its proper divisors (22459078576).

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

11820741264 is a wasteful number, since it uses less digits than its factorization.

11820741264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282205 (or 282193 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11820741264 in words is "eleven billion, eight hundred twenty million, seven hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 776 873 1164 1552 1746 2328 2619 3492 4656 5238 6984 10476 13968 20952 41904 282091 564182 846273 1128364 1692546 2256728 2538819 3385092 4513456 5077638 6770184 7616457 10155276 13540368 15232914 20310552 27362827 30465828 40621104 54725654 60931656 82088481 109451308 121863312 164176962 218902616 246265443 328353924 437805232 492530886 656707848 738796329 985061772 1313415696 1477592658 1970123544 2955185316 3940247088 5910370632 11820741264