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196465340160 = 2833579227317
BaseRepresentation
bin1011011011111000111…
…1110010111100000000
3200210010000012100202000
42312332033302330000
511204330111341120
6230131022024000
720123410560165
oct2667617627400
9623100170660
10196465340160
1176358620a21
12320aba18000
13156acc3888b
14971a8a006c
15519cebc990
hex2dbe3f2f00

196465340160 has 576 divisors, whose sum is σ = 711351244800. Its totient is φ = 51337248768.

The previous prime is 196465340147. The next prime is 196465340171. The reversal of 196465340160 is 61043564691.

196465340160 is a `hidden beast` number, since 1 + 96 + 4 + 65 + 340 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619764322 + ... + 619764638.

It is an arithmetic number, because the mean of its divisors is an integer number (1234984800).

Almost surely, 2196465340160 is an apocalyptic number.

196465340160 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 196465340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355675622400).

196465340160 is an abundant number, since it is smaller than the sum of its proper divisors (514885904640).

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

196465340160 is a wasteful number, since it uses less digits than its factorization.

196465340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 196465340160 in words is "one hundred ninety-six billion, four hundred sixty-five million, three hundred forty thousand, one hundred sixty".