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196815364704 = 2533735771151
BaseRepresentation
bin1011011101001100011…
…1000010001001100000
3200211000101211110011000
42313103013002021200
511211034213132304
6230225444152000
720135160666000
oct2672307021140
9624011743130
10196815364704
1176518162602
1232189098600
13157375cccaa
149751176000
1551bdaad939
hex2dd31c2260

196815364704 has 384 divisors, whose sum is σ = 671182848000. Its totient is φ = 56086732800.

The previous prime is 196815364703. The next prime is 196815364717. The reversal of 196815364704 is 407463518691.

196815364704 is a `hidden beast` number, since 1 + 9 + 68 + 1 + 536 + 47 + 0 + 4 = 666.

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 (196815364703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170994529 + ... + 170995679.

It is an arithmetic number, because the mean of its divisors is an integer number (1747872000).

Almost surely, 2196815364704 is an apocalyptic number.

196815364704 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 196815364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335591424000).

196815364704 is an abundant number, since it is smaller than the sum of its proper divisors (474367483296).

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

196815364704 is a wasteful number, since it uses less digits than its factorization.

196815364704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 196815364704 in words is "one hundred ninety-six billion, eight hundred fifteen million, three hundred sixty-four thousand, seven hundred four".