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985901192141320 = 23572131063302312041
BaseRepresentation
bin1110000000101011000000001…
…0010101110101101000001000
311210021210020022012211001022001
43200022300002111311220020
52013211001120142010240
613412500431033040344
7414444003422561200
oct34012600225655010
94707706265731261
10985901192141320
11266158390633314
12926aa30a5560b4
1333417111596470
1413565c2d86d400
1578ea844b9a89a
hex380ac02575a08

985901192141320 has 384 divisors, whose sum is σ = 2782706730531840. Its totient is φ = 311598948003840.

The previous prime is 985901192141279. The next prime is 985901192141347. The reversal of 985901192141320 is 23141291109589.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81878674500 + ... + 81878686540.

It is an arithmetic number, because the mean of its divisors is an integer number (7246632110760).

Almost surely, 2985901192141320 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 985901192141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391353365265920).

985901192141320 is an abundant number, since it is smaller than the sum of its proper divisors (1796805538390520).

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

985901192141320 is a wasteful number, since it uses less digits than its factorization.

985901192141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16165 (or 16154 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 55.

The spelling of 985901192141320 in words is "nine hundred eighty-five trillion, nine hundred one billion, one hundred ninety-two million, one hundred forty-one thousand, three hundred twenty".