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935428243680 = 253257213257203
BaseRepresentation
bin11011001110010111101…
…11100100000011100000
310022102111121021100001200
431213023313210003200
5110311224112244210
61553421345401200
7124403532610500
oct15471367440340
93272447240050
10935428243680
11330792947727
12131361039200
136a29762cac8
14333bc729a00
15194ec99e0c0
hexd9cbde40e0

935428243680 has 216 divisors, whose sum is σ = 3713316325992. Its totient is φ = 213812153856.

The previous prime is 935428243667. The next prime is 935428243691. The reversal of 935428243680 is 86342824539.

935428243680 is a `hidden beast` number, since 9 + 3 + 54 + 2 + 82 + 436 + 80 = 666.

935428243680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6558042 + ... + 6699161.

It is an arithmetic number, because the mean of its divisors is an integer number (17191279287).

Almost surely, 2935428243680 is an apocalyptic number.

935428243680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

935428243680 is an abundant number, since it is smaller than the sum of its proper divisors (2777888082312).

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

935428243680 is a wasteful number, since it uses less digits than its factorization.

935428243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13257238 (or 13257220 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 935428243680 in words is "nine hundred thirty-five billion, four hundred twenty-eight million, two hundred forty-three thousand, six hundred eighty".