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196018256425104 = 24342323724572
BaseRepresentation
bin101100100100011100001110…
…100010110011000010010000
3221201001011101022121211210000
4230210130032202303002100
5201143030342121100404
61532521313250010000
756200565061335511
oct5444341642630220
9851034338554700
10196018256425104
115750396a626113
1219b99799576900
13854b599875a69
1436594971c0a08
15179dd40c40339
hexb2470e8b3090

196018256425104 has 675 divisors, whose sum is σ = 610871756195547. Its totient is φ = 60676361653248.

The previous prime is 196018256425049. The next prime is 196018256425109. The reversal of 196018256425104 is 401524652810691.

It is a happy number.

The square root of 196018256425104 is 14000652.

It is a perfect power (a square), and thus also a powerful number.

196018256425104 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 1 + 82 + 5 + 6 + 42 + 510 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113363975151504 + 82654281273600 = 10647252^2 + 9091440^2 .

It is a super-2 number, since 2×1960182564251042 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (196018256425109) 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 134 ways as a sum of consecutive naturals, for example, 428923974444 + ... + 428923974900.

Almost surely, 2196018256425104 is an apocalyptic number.

196018256425104 is the 14000652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196018256425104

196018256425104 is an abundant number, since it is smaller than the sum of its proper divisors (414853499770443).

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

196018256425104 is an frugal number, since it uses more digits than its factorization.

196018256425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 196018256425104 in words is "one hundred ninety-six trillion, eighteen billion, two hundred fifty-six million, four hundred twenty-five thousand, one hundred four".