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40165682352084 = 22332316169759401
BaseRepresentation
bin10010010000111110011010…
…01110101000111111010100
312021012210122110111112222000
421020133031032220333110
520231033304140231314
6221231505412035300
711313606023564052
oct1110371516507724
9167183573445860
1040165682352084
1111886196630483
124608465902b30
1319547b8b636a3
149cc05a9531d2
15499c05499209
hex2487cd3a8fd4

40165682352084 has 48 divisors (see below), whose sum is σ = 108660783181440. Its totient is φ = 12806449444800.

The previous prime is 40165682352079. The next prime is 40165682352121. The reversal of 40165682352084 is 48025328656104.

40165682352084 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 568 + 23 + 52 + 0 + 8 + 4 = 666.

It is a super-2 number, since 2×401656823520842 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40165682352084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8084877217 + ... + 8084882184.

It is an arithmetic number, because the mean of its divisors is an integer number (2263766316280).

Almost surely, 240165682352084 is an apocalyptic number.

It is an amenable number.

40165682352084 is an abundant number, since it is smaller than the sum of its proper divisors (68495100829356).

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

40165682352084 is a wasteful number, since it uses less digits than its factorization.

40165682352084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16169759437 (or 16169759429 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 40165682352084 in words is "forty trillion, one hundred sixty-five billion, six hundred eighty-two million, three hundred fifty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 16169759401 32339518802 48509278203 64679037604 97018556406 145527834609 194037112812 291055669218 371904466223 436583503827 582111338436 743808932446 873167007654 1115713398669 1487617864892 1746334015308 2231426797338 3347140196007 4462853594676 6694280392014 10041420588021 13388560784028 20082841176042 40165682352084