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798642300960 = 253357171553537
BaseRepresentation
bin10111001111100101100…
…10100110100000100000
32211100102202101111001000
423213302302212200200
5101041104412112320
61410520300112000
7111462046356540
oct13476262464040
92740382344030
10798642300960
1128877a838379
1210a947835600
135a4088bbb6a
142a923d05320
1515b94005c90
hexb9f2ca6820

798642300960 has 384 divisors, whose sum is σ = 3382487216640. Its totient is φ = 171808653312.

The previous prime is 798642300959. The next prime is 798642300979. The reversal of 798642300960 is 69003246897.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 798642300897 and 798642300906.

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, 262689 + ... + 1290848.

It is an arithmetic number, because the mean of its divisors is an integer number (8808560460).

Almost surely, 2798642300960 is an apocalyptic number.

798642300960 is a gapful number since it is divisible by the number (70) 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 798642300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691243608320).

798642300960 is an abundant number, since it is smaller than the sum of its proper divisors (2583844915680).

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

798642300960 is a wasteful number, since it uses less digits than its factorization.

798642300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553585 (or 1553571 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 798642300960 in words is "seven hundred ninety-eight billion, six hundred forty-two million, three hundred thousand, nine hundred sixty".