Search a number
-
+
798896035461888 = 28357213191061087
BaseRepresentation
bin1011010110100101110111101…
…0011001111111101100000000
310212202122201022022111001200000
42311221131322121333230000
51314203103040034240023
611511035434434400000
7330163222336051200
oct26551357231775400
93782581268431600
10798896035461888
112116099a6929121
12757274a1a30000
13283a075a836bb0
141013cabb066400
1562561bc6dd243
hex2d6977a67fb00

798896035461888 has 1296 divisors, whose sum is σ = 3149971133137920. Its totient is φ = 199608306573312.

The previous prime is 798896035461829. The next prime is 798896035461893. The reversal of 798896035461888 is 888164530698897.

798896035461888 is a `hidden beast` number, since 7 + 9 + 8 + 8 + 9 + 60 + 3 + 5 + 461 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a junction number, because it is equal to n+sod(n) for n = 798896035461798 and 798896035461807.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 752372881 + ... + 753433967.

Almost surely, 2798896035461888 is an apocalyptic number.

798896035461888 is a gapful number since it is divisible by the number (78) 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 798896035461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574985566568960).

798896035461888 is an abundant number, since it is smaller than the sum of its proper divisors (2351075097676032).

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

798896035461888 is a wasteful number, since it uses less digits than its factorization.

798896035461888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061164 (or 1061131 counting only the distinct ones).

The product of its (nonzero) digits is 40131624960, while the sum is 90.

The spelling of 798896035461888 in words is "seven hundred ninety-eight trillion, eight hundred ninety-six billion, thirty-five million, four hundred sixty-one thousand, eight hundred eighty-eight".