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116379970560 = 210355722383
BaseRepresentation
bin110110001100011001…
…0010110110000000000
3102010101201110001200000
41230120302112300000
53401321233024220
6125244134400000
711260001266500
oct1543062266000
9363351401600
10116379970560
11453a1506457
121a67b500000
13ac89213609
1458c0661a00
153062289390
hex1b18c96c00

116379970560 has 1584 divisors, whose sum is σ = 513731102976. Its totient is φ = 25138003968.

The previous prime is 116379970559. The next prime is 116379970573. The reversal of 116379970560 is 65079973611.

It is a happy number.

116379970560 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 7 + 9 + 9 + 70 + 560 = 666.

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 = 116379970497 and 116379970506.

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, 1402168279 + ... + 1402168361.

Almost surely, 2116379970560 is an apocalyptic number.

116379970560 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 116379970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256865551488).

116379970560 is an abundant number, since it is smaller than the sum of its proper divisors (397351132416).

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

116379970560 is an equidigital number, since it uses as much as digits as its factorization.

116379970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 116379970560 in words is "one hundred sixteen billion, three hundred seventy-nine million, nine hundred seventy thousand, five hundred sixty".