Search a number
-
+
10196858880 = 211335132837
BaseRepresentation
bin10010111111100011…
…11011100000000000
3222022122012002202000
421133301323200000
5131340343441010
64403454024000
7510454604355
oct113761734000
928278162660
1010196858880
114362951aaa
121b86aa8000
13c66714b10
146ca36862c
153ea2e67c0
hex25fc7b800

10196858880 has 384 divisors, whose sum is σ = 39048609600. Its totient is φ = 2509111296.

The previous prime is 10196858831. The next prime is 10196858909. The reversal of 10196858880 is 8885869101.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592822 + ... + 3595658.

Almost surely, 210196858880 is an apocalyptic number.

10196858880 is a gapful number since it is divisible by the number (10) 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 10196858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19524304800).

10196858880 is an abundant number, since it is smaller than the sum of its proper divisors (28851750720).

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

10196858880 is a wasteful number, since it uses less digits than its factorization.

10196858880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 10196858880 in words is "ten billion, one hundred ninety-six million, eight hundred fifty-eight thousand, eight hundred eighty".