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42755786496 = 283471113257
BaseRepresentation
bin100111110100011100…
…011000011100000000
311002100201112222220000
4213310130120130000
51200030440131441
631350340520000
73042346121523
oct476434303400
9132321488800
1042755786496
1117150588245
1283529b0000
134054c9c167
1420d85a2bba
1511a38db2b6
hex9f4718700

42755786496 has 360 divisors, whose sum is σ = 130937282784. Its totient is φ = 13872660480.

The previous prime is 42755786467. The next prime is 42755786503. The reversal of 42755786496 is 69468755724.

42755786496 is a `hidden beast` number, since 4 + 2 + 75 + 5 + 78 + 6 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166364800 + ... + 166365056.

Almost surely, 242755786496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42755786496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65468641392).

42755786496 is an abundant number, since it is smaller than the sum of its proper divisors (88181496288).

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

42755786496 is a wasteful number, since it uses less digits than its factorization.

42755786496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 446 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 42755786496 in words is "forty-two billion, seven hundred fifty-five million, seven hundred eighty-six thousand, four hundred ninety-six".