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190397345746608 = 24327111319531311701
BaseRepresentation
bin101011010010101001010110…
…001010001100111010110000
3220222010210211101112010120200
4223102221112022030322300
5144423432231002342413
61512535155542435200
755050516502026150
oct5322512612147260
9828123741463520
10190397345746608
1155737074030890
1219430345a32b00
1382315148b4670
1435033d0372760
151702a129e9573
hexad2a5628ceb0

190397345746608 has 960 divisors, whose sum is σ = 767296559877120. Its totient is φ = 42431081472000.

The previous prime is 190397345746549. The next prime is 190397345746679. The reversal of 190397345746608 is 806647543793091.

190397345746608 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 9 + 7 + 3 + 4 + 5 + 7 + 4 + 6 + 608 = 666.

190397345746608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1903973457466082 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144497158 + ... + 145808858.

It is an arithmetic number, because the mean of its divisors is an integer number (799267249872).

Almost surely, 2190397345746608 is an apocalyptic number.

190397345746608 is a gapful number since it is divisible by the number (18) 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 190397345746608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383648279938560).

190397345746608 is an abundant number, since it is smaller than the sum of its proper divisors (576899214130512).

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

190397345746608 is a wasteful number, since it uses less digits than its factorization.

190397345746608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311818 (or 1311809 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 190397345746608 in words is "one hundred ninety trillion, three hundred ninety-seven billion, three hundred forty-five million, seven hundred forty-six thousand, six hundred eight".