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889816998000 = 24353722219539
BaseRepresentation
bin11001111001011010011…
…10011110000001110000
310011001202212122222120010
430330231032132001300
5104034321122414000
61520435402214520
7121200331455030
oct14745516360160
93131685588503
10889816998000
11313407552767
12124551ab4440
1365ba8bb6538
14310d2c278c0
151822d570d50
hexcf2d39e070

889816998000 has 320 divisors, whose sum is σ = 3280414325760. Its totient is φ = 203273856000.

The previous prime is 889816997977. The next prime is 889816998047. The reversal of 889816998000 is 899618988.

It is a happy number.

889816998000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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, 93277231 + ... + 93286769.

It is an arithmetic number, because the mean of its divisors is an integer number (10251294768).

Almost surely, 2889816998000 is an apocalyptic number.

889816998000 is a gapful number since it is divisible by the number (80) 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 889816998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640207162880).

889816998000 is an abundant number, since it is smaller than the sum of its proper divisors (2390597327760).

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

889816998000 is a wasteful number, since it uses less digits than its factorization.

889816998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11793 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 66.

The spelling of 889816998000 in words is "eight hundred eighty-nine billion, eight hundred sixteen million, nine hundred ninety-eight thousand".