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50428105728 = 21037111323231
BaseRepresentation
bin101110111101101111…
…111101010000000000
311211011102101012021120
4232331233331100000
51311234043340403
635055533152240
73433440553260
oct567557752000
9154142335246
1050428105728
111a428395240
12993432b680
1349a8672020
14262552d7a0
1514a225ae53
hexbbdbfd400

50428105728 has 1056 divisors, whose sum is σ = 194738675712. Its totient is φ = 11191910400.

The previous prime is 50428105727. The next prime is 50428105733. The reversal of 50428105728 is 82750182405.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 50428105728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50428105723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1626713073 + ... + 1626713103.

Almost surely, 250428105728 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 50428105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97369337856).

50428105728 is an abundant number, since it is smaller than the sum of its proper divisors (144310569984).

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

50428105728 is a wasteful number, since it uses less digits than its factorization.

50428105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 50428105728 in words is "fifty billion, four hundred twenty-eight million, one hundred five thousand, seven hundred twenty-eight".