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42897392640 = 2103851277
BaseRepresentation
bin100111111100111000…
…100100010000000000
311002201121000100000000
4213330320210100000
51200323213031030
631412400000000
73046015551444
oct477470442000
9132647010000
1042897392640
1117213507013
128392300000
13407841c58b
14210d304824
1511b105d860
hex9fce24400

42897392640 has 396 divisors, whose sum is σ = 154468233036. Its totient is φ = 11430346752.

The previous prime is 42897392639. The next prime is 42897392677. The reversal of 42897392640 is 4629379824.

42897392640 is a `hidden beast` number, since 428 + 9 + 73 + 92 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21828289536 + 21069103104 = 147744^2 + 145152^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33591682 + ... + 33592958.

Almost surely, 242897392640 is an apocalyptic number.

42897392640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42897392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77234116518).

42897392640 is an abundant number, since it is smaller than the sum of its proper divisors (111570840396).

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

42897392640 is an frugal number, since it uses more digits than its factorization.

42897392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42897392640 in words is "forty-two billion, eight hundred ninety-seven million, three hundred ninety-two thousand, six hundred forty".