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197031819264 = 2113726110729
BaseRepresentation
bin1011011110000000000…
…0101111100000000000
3200211120111010110222120
42313200000233200000
511212010121204024
6230303135404240
720143426554600
oct2674000574000
9624514113876
10197031819264
1176619364075
1232229683680
13157703c8a07
149771bdcc00
1551d2ab8479
hex2de002f800

197031819264 has 288 divisors, whose sum is σ = 621126651600. Its totient is φ = 55366778880.

The previous prime is 197031819263. The next prime is 197031819349. The reversal of 197031819264 is 462918130791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197031819263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18359052 + ... + 18369780.

Almost surely, 2197031819264 is an apocalyptic number.

197031819264 is a gapful number since it is divisible by the number (14) 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 197031819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310563325800).

197031819264 is an abundant number, since it is smaller than the sum of its proper divisors (424094832336).

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

197031819264 is a wasteful number, since it uses less digits than its factorization.

197031819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 197031819264 in words is "one hundred ninety-seven billion, thirty-one million, eight hundred nineteen thousand, two hundred sixty-four".