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196331362560 = 28325173173443
BaseRepresentation
bin1011011011011001000…
…0101101100100000000
3200202202200002121000200
42312312100231210000
511204041312100220
6230105434245200
720120163022014
oct2666620554400
9622680077020
10196331362560
1176299a32633
1232072b86800
131568b2597a8
149706b86544
155191355890
hex2db642d900

196331362560 has 864 divisors, whose sum is σ = 754314882048. Its totient is φ = 46926397440.

The previous prime is 196331362553. The next prime is 196331362561. The reversal of 196331362560 is 65263133691.

196331362560 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 3 + 13 + 625 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (196331362561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 443185699 + ... + 443186141.

It is an arithmetic number, because the mean of its divisors is an integer number (873049632).

Almost surely, 2196331362560 is an apocalyptic number.

196331362560 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 196331362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377157441024).

196331362560 is an abundant number, since it is smaller than the sum of its proper divisors (557983519488).

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

196331362560 is a wasteful number, since it uses less digits than its factorization.

196331362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 196331362560 in words is "one hundred ninety-six billion, three hundred thirty-one million, three hundred sixty-two thousand, five hundred sixty".