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18836460468 = 2233724915953
BaseRepresentation
bin10001100010101111…
…011001001110110100
31210121202010100002000
4101202233121032310
5302034113213333
612353042415300
71234533162240
oct214257311664
953552110060
1018836460468
117a96766601
123798361530
131a1260abc7
14ca9967420
15753a33713
hex462bd93b4

18836460468 has 48 divisors (see below), whose sum is σ = 55811736960. Its totient is φ = 5381845632.

The previous prime is 18836460457. The next prime is 18836460469. The reversal of 18836460468 is 86406463881.

18836460468 is a `hidden beast` number, since 188 + 364 + 60 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18836460469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12457221 + ... + 12458732.

It is an arithmetic number, because the mean of its divisors is an integer number (1162744520).

Almost surely, 218836460468 is an apocalyptic number.

18836460468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18836460468 is an abundant number, since it is smaller than the sum of its proper divisors (36975276492).

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

18836460468 is a wasteful number, since it uses less digits than its factorization.

18836460468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24915973 (or 24915965 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

It can be divided in two parts, 188364 and 60468, that added together give a 5-th power (248832 = 125).

The spelling of 18836460468 in words is "eighteen billion, eight hundred thirty-six million, four hundred sixty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 24915953 49831906 74747859 99663812 149495718 174411671 224243577 298991436 348823342 448487154 523235013 672730731 697646684 896974308 1046470026 1345461462 1569705039 2092940052 2690922924 3139410078 4709115117 6278820156 9418230234 18836460468