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197104309416 = 233471011034177
BaseRepresentation
bin1011011110010001010…
…1010001010010101000
3200211202112112100210000
42313210111101102220
511212132200400131
6230314245223000
720145266662260
oct2674425212250
9624675470700
10197104309416
1176656275a93
1232249a01a60
1315782429ab1
14977b6ac7a0
1551d9136ce6
hex2de45514a8

197104309416 has 320 divisors, whose sum is σ = 643529652480. Its totient is φ = 55203379200.

The previous prime is 197104309411. The next prime is 197104309429. The reversal of 197104309416 is 614903401791.

It is a happy number.

197104309416 is a `hidden beast` number, since 197 + 1 + 0 + 43 + 0 + 9 + 416 = 666.

It is a super-2 number, since 2×1971043094162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197104309411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47185920 + ... + 47190096.

It is an arithmetic number, because the mean of its divisors is an integer number (2011030164).

Almost surely, 2197104309416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197104309416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321764826240).

197104309416 is an abundant number, since it is smaller than the sum of its proper divisors (446425343064).

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

197104309416 is a wasteful number, since it uses less digits than its factorization.

197104309416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 197104309416 in words is "one hundred ninety-seven billion, one hundred four million, three hundred nine thousand, four hundred sixteen".