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42716890944 = 26347132331127
BaseRepresentation
bin100111110010001000…
…000000011101000000
311002021000100220020000
4213302020000131000
51144441011002234
631342431120000
73041364403440
oct476210003500
9132230326200
1042716890944
1117130631462
128341973000
134049c01240
1420d335a120
1511a02a6899
hex9f2200740

42716890944 has 1120 divisors, whose sum is σ = 169191407616. Its totient is φ = 10346434560.

The previous prime is 42716890933. The next prime is 42716890969. The reversal of 42716890944 is 44909861724.

It is a super-2 number, since 2×427168909442 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 336353409 + ... + 336353535.

Almost surely, 242716890944 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 42716890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84595703808).

42716890944 is an abundant number, since it is smaller than the sum of its proper divisors (126474516672).

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

42716890944 is a wasteful number, since it uses less digits than its factorization.

42716890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 42716890944 in words is "forty-two billion, seven hundred sixteen million, eight hundred ninety thousand, nine hundred forty-four".