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42735393810 = 2325474837709
BaseRepresentation
bin100111110011001110…
…100101110000010010
311002022022011221101100
4213303032211300102
51200010230100220
631344331445230
73042010565604
oct476316456022
9132268157340
1042735393810
111714001998a
128347bb6816
1340509ac095
1420d59b5174
1511a1c0dd90
hex9f33a5c12

42735393810 has 24 divisors (see below), whose sum is σ = 111112024140. Its totient is φ = 11396104992.

The previous prime is 42735393809. The next prime is 42735393817. The reversal of 42735393810 is 1839353724.

42735393810 is a `hidden beast` number, since 4 + 2 + 73 + 539 + 38 + 10 = 666.

42735393810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42629447961 + 105945849 = 206469^2 + 10293^2 .

It is a super-2 number, since 2×427353938102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42735393817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237418765 + ... + 237418944.

Almost surely, 242735393810 is an apocalyptic number.

42735393810 is an abundant number, since it is smaller than the sum of its proper divisors (68376630330).

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

42735393810 is a wasteful number, since it uses less digits than its factorization.

42735393810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474837722 (or 474837719 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42735393810 in words is "forty-two billion, seven hundred thirty-five million, three hundred ninety-three thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 474837709 949675418 1424513127 2374188545 2849026254 4273539381 4748377090 7122565635 8547078762 14245131270 21367696905 42735393810