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93043969920 = 27335114111939
BaseRepresentation
bin101011010100111011…
…0100100111110000000
322220011101122101212000
41112221312210332000
53011023224014140
6110424355104000
76502500460266
oct1265166447600
9286141571760
1093043969920
1136506993810
12160482a2000
138a0a660305
1447092ac436
152648708a30
hex15a9da4f80

93043969920 has 512 divisors, whose sum is σ = 368286912000. Its totient is φ = 22004121600.

The previous prime is 93043969913. The next prime is 93043969939. The reversal of 93043969920 is 2996934039.

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 63 ways as a sum of consecutive naturals, for example, 7787311 + ... + 7799249.

It is an arithmetic number, because the mean of its divisors is an integer number (719310375).

Almost surely, 293043969920 is an apocalyptic number.

93043969920 is a gapful number since it is divisible by the number (90) 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 93043969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184143456000).

93043969920 is an abundant number, since it is smaller than the sum of its proper divisors (275242942080).

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

93043969920 is a wasteful number, since it uses less digits than its factorization.

93043969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12019 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 93043969920 in words is "ninety-three billion, forty-three million, nine hundred sixty-nine thousand, nine hundred twenty".