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18274831680 = 263577337253
BaseRepresentation
bin10001000001010000…
…111100110101000000
31202011121022122012210
4101001100330311000
5244411324103210
612221221022120
71214603335440
oct210120746500
952147278183
1018274831680
117828736586
123660254940
131953158691
14c5512c120
1571e594e20
hex44143cd40

18274831680 has 224 divisors, whose sum is σ = 67221713664. Its totient is φ = 4119773184.

The previous prime is 18274831667. The next prime is 18274831703. The reversal of 18274831680 is 8613847281.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471934 + ... + 509186.

It is an arithmetic number, because the mean of its divisors is an integer number (300096936).

Almost surely, 218274831680 is an apocalyptic number.

18274831680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18274831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33610856832).

18274831680 is an abundant number, since it is smaller than the sum of its proper divisors (48946881984).

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

18274831680 is a wasteful number, since it uses less digits than its factorization.

18274831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37353 (or 37343 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 18274831680 in words is "eighteen billion, two hundred seventy-four million, eight hundred thirty-one thousand, six hundred eighty".