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196402398192 = 243373111322331
BaseRepresentation
bin1011011011101001111…
…1101100001111110000
3200202221121202120121000
42312322133230033300
511204213003220232
6230120453002000
720122014561000
oct2667237541760
9622847676530
10196402398192
1176326040770
1232092923300
131569cb9b800
149712398000
1551976d827c
hex2dba7ec3f0

196402398192 has 1920 divisors, whose sum is σ = 836517888000. Its totient is φ = 43589145600.

The previous prime is 196402398187. The next prime is 196402398197. The reversal of 196402398192 is 291893204691.

196402398192 is a `hidden beast` number, since 1 + 9 + 64 + 0 + 2 + 398 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (196402398187) and next prime (196402398197).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196402398197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6335561217 + ... + 6335561247.

It is an arithmetic number, because the mean of its divisors is an integer number (435686400).

Almost surely, 2196402398192 is an apocalyptic number.

196402398192 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 196402398192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418258944000).

196402398192 is an abundant number, since it is smaller than the sum of its proper divisors (640115489808).

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

196402398192 is a wasteful number, since it uses less digits than its factorization.

196402398192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 196402398192 in words is "one hundred ninety-six billion, four hundred two million, three hundred ninety-eight thousand, one hundred ninety-two".