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197313072792 = 233113193110487
BaseRepresentation
bin1011011111000011000…
…1101000111010011000
3200212022002100122021220
42313300301220322120
511213044121312132
6230351103532040
720153413305663
oct2676061507230
9625262318256
10197313072792
11767530a4000
12322a78ba020
13157b6761b14
14979b2d26da
1551ec622a2c
hex2df0c68e98

197313072792 has 256 divisors, whose sum is σ = 589610188800. Its totient is φ = 54812419200.

The previous prime is 197313072739. The next prime is 197313072799. The reversal of 197313072792 is 297270313791.

197313072792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197313072799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18809773 + ... + 18820259.

It is an arithmetic number, because the mean of its divisors is an integer number (2303164800).

Almost surely, 2197313072792 is an apocalyptic number.

197313072792 is a gapful number since it is divisible by the number (12) 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 197313072792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294805094400).

197313072792 is an abundant number, since it is smaller than the sum of its proper divisors (392297116008).

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

197313072792 is a wasteful number, since it uses less digits than its factorization.

197313072792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 51.

The spelling of 197313072792 in words is "one hundred ninety-seven billion, three hundred thirteen million, seventy-two thousand, seven hundred ninety-two".