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538750033920 = 213335769593
BaseRepresentation
bin1111101011100000000…
…00010010000000000000
31220111121102020101122000
413311300000102000000
532311330002041140
61051255350544000
753631504505230
oct7656000220000
91814542211560
10538750033920
1119853439251a
12884b6368000
133ba5b263027
141c10b7b5cc0
15e032a0ea30
hex7d70012000

538750033920 has 448 divisors, whose sum is σ = 2189104323840. Its totient is φ = 123141095424.

The previous prime is 538750033901. The next prime is 538750033963. The reversal of 538750033920 is 29330057835.

538750033920 is a `hidden beast` number, since 53 + 8 + 7 + 500 + 3 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7706644 + ... + 7776236.

It is an arithmetic number, because the mean of its divisors is an integer number (4886393580).

Almost surely, 2538750033920 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 538750033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094552161920).

538750033920 is an abundant number, since it is smaller than the sum of its proper divisors (1650354289920).

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

538750033920 is an equidigital number, since it uses as much as digits as its factorization.

538750033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69640 (or 69610 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 538750033920 in words is "five hundred thirty-eight billion, seven hundred fifty million, thirty-three thousand, nine hundred twenty".