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985996228140 = 22345711311072383
BaseRepresentation
bin11100101100100011111…
…01000111011000101100
310111021000202212002220000
432112101331013120230
5112123310013300030
62032543241024300
7131143622440560
oct16262175073054
93437022762800
10985996228140
11350182190920
1213b114185090
1371c95c68bc1
1435a1866b6a0
151a9ac13a860
hexe591f4762c

985996228140 has 960 divisors, whose sum is σ = 4019628146688. Its totient is φ = 196337779200.

The previous prime is 985996228069. The next prime is 985996228141. The reversal of 985996228140 is 41822699589.

985996228140 is a `hidden beast` number, since 9 + 8 + 599 + 6 + 2 + 28 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (985996228141) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 413761389 + ... + 413763771.

Almost surely, 2985996228140 is an apocalyptic number.

985996228140 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 985996228140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009814073344).

985996228140 is an abundant number, since it is smaller than the sum of its proper divisors (3033631918548).

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

985996228140 is a wasteful number, since it uses less digits than its factorization.

985996228140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 985996228140 in words is "nine hundred eighty-five billion, nine hundred ninety-six million, two hundred twenty-eight thousand, one hundred forty".