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93078985272 = 23373133128057
BaseRepresentation
bin101011010101111110…
…0001001101000111000
322220020211112100212220
41112223330021220320
53011111210012042
6110432045404040
76503404215000
oct1265374115070
9286224470786
1093078985272
113652472a319
1216057b69620
138a149a0060
14470dbc5000
15264b8238ec
hex15abf09a38

93078985272 has 256 divisors, whose sum is σ = 301679616000. Its totient is φ = 23755576320.

The previous prime is 93078985253. The next prime is 93078985309. The reversal of 93078985272 is 27258987039.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3303468 + ... + 3331524.

It is an arithmetic number, because the mean of its divisors is an integer number (1178436000).

Almost surely, 293078985272 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 93078985272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150839808000).

93078985272 is an abundant number, since it is smaller than the sum of its proper divisors (208600630728).

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

93078985272 is a wasteful number, since it uses less digits than its factorization.

93078985272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28131 (or 28113 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 93078985272 in words is "ninety-three billion, seventy-eight million, nine hundred eighty-five thousand, two hundred seventy-two".