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42760051146 = 234377133809
BaseRepresentation
bin100111110100101100…
…101001100111001010
311002101000120122220000
4213310230221213022
51200033033114041
631351012143430
73042430303101
oct476454514712
9132330518800
1042760051146
1117152a3034a
128354307b76
134055b33317
1420d8d93038
1511a3e7ebb6
hex9f4b299ca

42760051146 has 40 divisors (see below), whose sum is σ = 98403775140. Its totient is φ = 13868122752.

The previous prime is 42760051079. The next prime is 42760051151. The reversal of 42760051146 is 64115006724.

42760051146 is a `hidden beast` number, since 4 + 2 + 7 + 600 + 5 + 1 + 1 + 46 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37285679025 + 5474372121 = 193095^2 + 73989^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42760051146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3560911 + ... + 3572898.

Almost surely, 242760051146 is an apocalyptic number.

42760051146 is an abundant number, since it is smaller than the sum of its proper divisors (55643723994).

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

42760051146 is a wasteful number, since it uses less digits than its factorization.

42760051146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133860 (or 7133851 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42760051146 in words is "forty-two billion, seven hundred sixty million, fifty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 7133809 14267618 21401427 42802854 64204281 128408562 192612843 263950933 385225686 527901866 577838529 791852799 1155677058 1583705598 2375558397 4751116794 7126675191 14253350382 21380025573 42760051146