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119797416960 = 21035131735291
BaseRepresentation
bin110111110010001111…
…0111000010000000000
3102110012212222022210220
41233210132320100000
53430321114320320
6131011214223040
711440456146204
oct1574436702000
9373185868726
10119797416960
1146895578521
121b273ab4a80
13b3b2237450
145b26490b04
1531b22dae40
hex1be47b8400

119797416960 has 352 divisors, whose sum is σ = 436923994752. Its totient is φ = 27753185280.

The previous prime is 119797416931. The next prime is 119797416989. The reversal of 119797416960 is 69614797911.

It is an interprime number because it is at equal distance from previous prime (119797416931) and next prime (119797416989).

It is a super-2 number, since 2×1197974169602 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 119797416894 and 119797416903.

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, 3376915 + ... + 3412205.

Almost surely, 2119797416960 is an apocalyptic number.

119797416960 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 119797416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218461997376).

119797416960 is an abundant number, since it is smaller than the sum of its proper divisors (317126577792).

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

119797416960 is a wasteful number, since it uses less digits than its factorization.

119797416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35349 (or 35331 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 60.

The spelling of 119797416960 in words is "one hundred nineteen billion, seven hundred ninety-seven million, four hundred sixteen thousand, nine hundred sixty".