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11858430816 = 2532149276343
BaseRepresentation
bin10110000101101000…
…10100101101100000
31010121102201200221100
423002310110231200
5143241224241231
65240411154400
7566601666411
oct130264245540
933542650840
1011858430816
115035858651
12236b445a00
13116ca2818b
14806cc9808
154961091e6
hex2c2d14b60

11858430816 has 72 divisors (see below), whose sum is σ = 33948860400. Its totient is φ = 3926267136.

The previous prime is 11858430811. The next prime is 11858430851. The reversal of 11858430816 is 61803485811.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11858430811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95260 + ... + 181083.

It is an arithmetic number, because the mean of its divisors is an integer number (471511950).

Almost surely, 211858430816 is an apocalyptic number.

11858430816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11858430816 is an abundant number, since it is smaller than the sum of its proper divisors (22090429584).

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

11858430816 is a wasteful number, since it uses less digits than its factorization.

11858430816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276508 (or 276497 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11858430816 in words is "eleven billion, eight hundred fifty-eight million, four hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 42912 276343 552686 829029 1105372 1658058 2210744 2487087 3316116 4421488 4974174 6632232 8842976 9948348 13264464 19896696 26528928 39793392 41175107 79586784 82350214 123525321 164700428 247050642 329400856 370575963 494101284 658801712 741151926 988202568 1317603424 1482303852 1976405136 2964607704 3952810272 5929215408 11858430816