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196237518048 = 253411133741349
BaseRepresentation
bin1011011011000010101…
…0101110010011100000
3200202112010111210120000
42312300222232103200
511203343301034143
6230052243020000
720114643244605
oct2666052562340
9622463453500
10196237518048
1176250a65890
123204766a600
131567498c9b0
1496d85186ac
155187eb9bd3
hex2db0aae4e0

196237518048 has 960 divisors, whose sum is σ = 715378910400. Its totient is φ = 51956121600.

The previous prime is 196237518047. The next prime is 196237518049. The reversal of 196237518048 is 840815732691.

196237518048 is a `hidden beast` number, since 1 + 9 + 623 + 7 + 5 + 1 + 8 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (196237518047) and next prime (196237518049).

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

It is a junction number, because it is equal to n+sod(n) for n = 196237517985 and 196237518003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196237518047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 562284978 + ... + 562285326.

It is an arithmetic number, because the mean of its divisors is an integer number (745186365).

It is a 1-persistent number, because it is pandigital, but 2⋅196237518048 = 392475036096 is not.

Almost surely, 2196237518048 is an apocalyptic number.

196237518048 is a gapful number since it is divisible by the number (18) 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 196237518048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357689455200).

196237518048 is an abundant number, since it is smaller than the sum of its proper divisors (519141392352).

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

196237518048 is a wasteful number, since it uses less digits than its factorization.

196237518048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 196237518048 in words is "one hundred ninety-six billion, two hundred thirty-seven million, five hundred eighteen thousand, forty-eight".