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10344640162542 = 2372349100819057
BaseRepresentation
bin1001011010001000110010…
…0110100010101011101110
31100121221022202111111102220
42112202030212202223232
52323441310340200132
634000132335500210
72115242553366300
oct226421446425356
940557282444386
1010344640162542
113329156762134
1211b0a3b087666
135a065947949a
1427a97cbd1970
1512e14b661a2c
hex9688c9a2aee

10344640162542 has 48 divisors (see below), whose sum is σ = 24136082485200. Its totient is φ = 2947142644992.

The previous prime is 10344640162541. The next prime is 10344640162553. The reversal of 10344640162542 is 24526104644301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10344640162494 and 10344640162503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344640162541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50306923 + ... + 50512134.

It is an arithmetic number, because the mean of its divisors is an integer number (502835051775).

Almost surely, 210344640162542 is an apocalyptic number.

10344640162542 is an abundant number, since it is smaller than the sum of its proper divisors (13791442322658).

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

10344640162542 is a wasteful number, since it uses less digits than its factorization.

10344640162542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100819425 (or 100819418 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 10344640162542 in words is "ten trillion, three hundred forty-four billion, six hundred forty million, one hundred sixty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 349 698 1047 2094 2443 4886 7329 14658 17101 34202 51303 102606 100819057 201638114 302457171 604914342 705733399 1411466798 2117200197 4234400394 4940133793 9880267586 14820401379 29640802758 35185850893 70371701786 105557552679 211115105358 246300956251 492601912502 738902868753 1477805737506 1724106693757 3448213387514 5172320081271 10344640162542