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196395381000 = 233353721319601
BaseRepresentation
bin1011011011101000010…
…0111011000100001000
3200202221010120001211000
42312322010323010020
511204204204143000
6230120042335000
720121601123500
oct2667204730410
9622833501730
10196395381000
1176322088635
12320904ba460
131569b5b2820
14971148ca00
155196c9e000
hex2dba13b108

196395381000 has 1536 divisors, whose sum is σ = 899301312000. Its totient is φ = 39191040000.

The previous prime is 196395380983. The next prime is 196395381011. The reversal of 196395381000 is 183593691.

196395381000 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 9 + 538 + 100 + 0 = 666.

It is a super-2 number, since 2×1963953810002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 326780700 + ... + 326781300.

It is an arithmetic number, because the mean of its divisors is an integer number (585482625).

Almost surely, 2196395381000 is an apocalyptic number.

196395381000 is a gapful number since it is divisible by the number (10) 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 196395381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449650656000).

196395381000 is an abundant number, since it is smaller than the sum of its proper divisors (702905931000).

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

196395381000 is a wasteful number, since it uses less digits than its factorization.

196395381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 196395381000 in words is "one hundred ninety-six billion, three hundred ninety-five million, three hundred eighty-one thousand".