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9989223922944 = 283271752816899
BaseRepresentation
bin1001000101011100110000…
…1001001011110100000000
31022100221221012010211010100
42101113030021023310000
52302130412311013234
633124553000202400
72050461165244110
oct221271411136400
938327835124110
109989223922944
113201451538912
121153b8aa69400
13575c97743076
142676a3cab040
15124c98d86399
hex915cc24bd00

9989223922944 has 432 divisors, whose sum is σ = 34863760713600. Its totient is φ = 2685279928320.

The previous prime is 9989223922933. The next prime is 9989223922967. The reversal of 9989223922944 is 4492293229899.

9989223922944 is a `hidden beast` number, since 9 + 98 + 92 + 2 + 392 + 29 + 44 = 666.

It is a super-3 number, since 3×99892239229443 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447920007 + ... + 1447926905.

It is an arithmetic number, because the mean of its divisors is an integer number (80703149800).

Almost surely, 29989223922944 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 9989223922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431880356800).

9989223922944 is an abundant number, since it is smaller than the sum of its proper divisors (24874536790656).

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

9989223922944 is a wasteful number, since it uses less digits than its factorization.

9989223922944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12226 (or 12209 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 9989223922944 in words is "nine trillion, nine hundred eighty-nine billion, two hundred twenty-three million, nine hundred twenty-two thousand, nine hundred forty-four".