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197041605696 = 26341317267151
BaseRepresentation
bin1011011110000010011…
…0000100110001000000
3200211121011112200110000
42313200212010301000
511212020122340241
6230304125240000
720143606004505
oct2674046046100
9624534480400
10197041605696
1176623938831
1232230a03000
13157724442c0
1497732294ac
1551d389ceb6
hex2de0984c40

197041605696 has 840 divisors, whose sum is σ = 682665574976. Its totient is φ = 55837900800.

The previous prime is 197041605671. The next prime is 197041605721. The reversal of 197041605696 is 696506140791.

It is a happy number.

197041605696 is a `hidden beast` number, since 1 + 9 + 70 + 4 + 1 + 6 + 0 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (197041605671) and next prime (197041605721).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1304911221 + ... + 1304911371.

Almost surely, 2197041605696 is an apocalyptic number.

197041605696 is a gapful number since it is divisible by the number (16) 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 197041605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341332787488).

197041605696 is an abundant number, since it is smaller than the sum of its proper divisors (485623969280).

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

197041605696 is a wasteful number, since it uses less digits than its factorization.

197041605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 197041605696 in words is "one hundred ninety-seven billion, forty-one million, six hundred five thousand, six hundred ninety-six".