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196936261632 = 213341126981
BaseRepresentation
bin1011011101101001010…
…0001110000000000000
3200211022211022122120000
42313122110032000000
511211311140333012
6230245443320000
720141156414115
oct2673224160000
9624284278500
10196936261632
117657a427220
1232201680000
131575667c236
14976324690c
1551c94deddc
hex2dda50e000

196936261632 has 280 divisors, whose sum is σ = 641850945912. Its totient is φ = 59675443200.

The previous prime is 196936261607. The next prime is 196936261637. The reversal of 196936261632 is 236162639691.

196936261632 is a `hidden beast` number, since 1 + 9 + 6 + 9 + 3 + 626 + 1 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×1969362616322 (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196936261637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7285582 + ... + 7312562.

Almost surely, 2196936261632 is an apocalyptic number.

196936261632 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 196936261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320925472956).

196936261632 is an abundant number, since it is smaller than the sum of its proper divisors (444914684280).

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

196936261632 is an equidigital number, since it uses as much as digits as its factorization.

196936261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27030 (or 26997 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 196936261632 in words is "one hundred ninety-six billion, nine hundred thirty-six million, two hundred sixty-one thousand, six hundred thirty-two".