Search a number
-
+
990265919616 = 273217307164707
BaseRepresentation
bin11100110100100000111…
…00101100100010000000
310111200001100000220111100
432122100130230202000
5112211031033411431
62034531043214400
7131354466301641
oct16322034544200
93450040026440
10990265919616
11351a73328266
1213bb06077400
13724c6705b6c
1435d017456c8
151ab5bdd44e6
hexe69072c880

990265919616 has 192 divisors, whose sum is σ = 3027062918880. Its totient is φ = 309657821184.

The previous prime is 990265919579. The next prime is 990265919623. The reversal of 990265919616 is 616919562099.

990265919616 is a `hidden beast` number, since 9 + 9 + 0 + 2 + 6 + 5 + 9 + 1 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5929935 + ... + 6094641.

Almost surely, 2990265919616 is an apocalyptic number.

990265919616 is a gapful number since it is divisible by the number (96) 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 990265919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513531459440).

990265919616 is an abundant number, since it is smaller than the sum of its proper divisors (2036796999264).

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

990265919616 is a wasteful number, since it uses less digits than its factorization.

990265919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165051 (or 165036 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 990265919616 in words is "nine hundred ninety billion, two hundred sixty-five million, nine hundred nineteen thousand, six hundred sixteen".