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18743780864 = 29374632137
BaseRepresentation
bin10001011101001101…
…110110011000000000
31210101021201201120002
4101131031312120000
5301341401441424
612335532135132
71232326336304
oct213515663000
953337651502
1018743780864
117a49414a96
1237713074a8
1319c935b3c3
14c9b51dd04
1574a827cae
hex45d376600

18743780864 has 80 divisors (see below), whose sum is σ = 38564251968. Its totient is φ = 9094643712.

The previous prime is 18743780837. The next prime is 18743780893. The reversal of 18743780864 is 46808734781.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8770004 + ... + 8772140.

Almost surely, 218743780864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18743780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282125984).

18743780864 is an abundant number, since it is smaller than the sum of its proper divisors (19820471104).

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

18743780864 is an equidigital number, since it uses as much as digits as its factorization.

18743780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 18743780864 in words is "eighteen billion, seven hundred forty-three million, seven hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 463 512 592 926 1184 1852 2137 2368 3704 4274 4736 7408 8548 9472 14816 17096 17131 18944 29632 34192 34262 59264 68384 68524 79069 118528 136768 137048 158138 237056 273536 274096 316276 547072 548192 632552 989431 1094144 1096384 1265104 1978862 2192768 2530208 3957724 4385536 5060416 7915448 8771072 10120832 15830896 20241664 31661792 36608947 40483328 63323584 73217894 126647168 146435788 253294336 292871576 506588672 585743152 1171486304 2342972608 4685945216 9371890432 18743780864