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893130213612 = 2237131931432751
BaseRepresentation
bin11001111111100101011…
…01011000100011101100
310011101022210001202221110
430333302231120203230
5104113112313313422
61522144240032020
7121345412361540
oct14776255304354
93141283052843
10893130213612
113148577a368a
12125117602610
13662b6444c50
1431328c83a20
151837438460c
hexcff2b588ec

893130213612 has 576 divisors, whose sum is σ = 2857093693440. Its totient is φ = 210651840000.

The previous prime is 893130213611. The next prime is 893130213667. The reversal of 893130213612 is 216312031398.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (893130213611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1189254237 + ... + 1189254987.

Almost surely, 2893130213612 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 893130213612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428546846720).

893130213612 is an abundant number, since it is smaller than the sum of its proper divisors (1963963479828).

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

893130213612 is a wasteful number, since it uses less digits than its factorization.

893130213612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 893130213612 in words is "eight hundred ninety-three billion, one hundred thirty million, two hundred thirteen thousand, six hundred twelve".