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42799073520 = 243574172257
BaseRepresentation
bin100111110111000001…
…100000100011110000
311002110202000012112010
4213313001200203300
51200123030323040
631354524402520
73043413060000
oct476701404360
9132422005463
1042799073520
1117172a63445
1283653a6440
134060c46b98
142100230000
1511a75dbe80
hex9f70608f0

42799073520 has 600 divisors, whose sum is σ = 165060868464. Its totient is φ = 9171369984.

The previous prime is 42799073501. The next prime is 42799073531. The reversal of 42799073520 is 2537099724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42799073520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 166533232 + ... + 166533488.

Almost surely, 242799073520 is an apocalyptic number.

42799073520 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 42799073520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82530434232).

42799073520 is an abundant number, since it is smaller than the sum of its proper divisors (122261794944).

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

42799073520 is a wasteful number, since it uses less digits than its factorization.

42799073520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 42799073520 in words is "forty-two billion, seven hundred ninety-nine million, seventy-three thousand, five hundred twenty".