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990055241472 = 2831117231931553
BaseRepresentation
bin11100110100000111110…
…01000001011100000000
310111122111122121100102010
432122003321001130000
5112210113120211342
62034454115452520
7131346330461643
oct16320371013400
93448448540363
10990055241472
113519754116a0
1213ba675b7140
1372491b8043b
1435cc1783a5a
151ab4866b29c
hexe683e41700

990055241472 has 576 divisors, whose sum is σ = 3194468637696. Its totient is φ = 268519342080.

The previous prime is 990055241471. The next prime is 990055241503. The reversal of 990055241472 is 274142550099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990055241471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637510648 + ... + 637512200.

It is an arithmetic number, because the mean of its divisors is an integer number (5545952496).

Almost surely, 2990055241472 is an apocalyptic number.

990055241472 is a gapful number since it is divisible by the number (92) 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 990055241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597234318848).

990055241472 is an abundant number, since it is smaller than the sum of its proper divisors (2204413396224).

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

990055241472 is a wasteful number, since it uses less digits than its factorization.

990055241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 990055241472 in words is "nine hundred ninety billion, fifty-five million, two hundred forty-one thousand, four hundred seventy-two".