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196382315151360 = 2153851322347
BaseRepresentation
bin101100101001101111010010…
…001000101000000000000000
3221202022222002012100100000000
4230221233102020220000000
5201220011440134320420
61533400442400000000
756236103561423052
oct5451572210500000
9852288065310000
10196382315151360
11576342aa254598
121a038260000000
138576a07c75500
14366cd51c558d2
1517a854c127690
hexb29bd2228000

196382315151360 has 3456 divisors, whose sum is σ = 815769295061760. Its totient is φ = 45254713540608.

The previous prime is 196382315151359. The next prime is 196382315151371. The reversal of 196382315151360 is 63151513283691.

It is a happy number.

196382315151360 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 82 + 3 + 151 + 51 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 = 196382315151297 and 196382315151306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4178347130857 + ... + 4178347130903.

It is an arithmetic number, because the mean of its divisors is an integer number (236044356210).

Almost surely, 2196382315151360 is an apocalyptic number.

196382315151360 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 196382315151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407884647530880).

196382315151360 is an abundant number, since it is smaller than the sum of its proper divisors (619386979910400).

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

196382315151360 is an frugal number, since it uses more digits than its factorization.

196382315151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 196382315151360 in words is "one hundred ninety-six trillion, three hundred eighty-two billion, three hundred fifteen million, one hundred fifty-one thousand, three hundred sixty".