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11824152093 = 331321312151
BaseRepresentation
bin10110000001100011…
…00011111000011101
31010112001020011101000
423000301203320131
5143203440331333
65233144340513
7566004430425
oct130061437035
933461204330
1011824152093
115018475526
12235ba74739
1311658b5800
14802525485
154930d7713
hex2c0c63e1d

11824152093 has 72 divisors (see below), whose sum is σ = 19240883520. Its totient is φ = 7173036000.

The previous prime is 11824152089. The next prime is 11824152149. The reversal of 11824152093 is 39025142811.

11824152093 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 41 + 520 + 93 = 666.

It is not a de Polignac number, because 11824152093 - 22 = 11824152089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11824152013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78305568 + ... + 78305718.

Almost surely, 211824152093 is an apocalyptic number.

11824152093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11824152093 is a deficient number, since it is larger than the sum of its proper divisors (7416731427).

11824152093 is a wasteful number, since it uses less digits than its factorization.

11824152093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11824152093 in words is "eleven billion, eight hundred twenty-four million, one hundred fifty-two thousand, ninety-three".

Divisors: 1 3 9 13 27 39 117 131 151 169 351 393 453 507 1179 1359 1521 1703 1963 3537 4077 4563 5109 5889 15327 17161 17667 19781 22139 25519 45981 51483 53001 59343 66417 76557 154449 178029 199251 223093 229671 257153 463347 534087 597753 669279 689013 771459 2007837 2314377 2591311 2900209 3342989 6023511 6943131 7773933 8700627 10028967 23321799 26101881 30086901 33687043 69965397 78305643 90260703 101061129 303183387 437931559 909550161 1313794677 3941384031 11824152093