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196109874240 = 26357233251499
BaseRepresentation
bin1011011010100100001…
…1110011010001000000
3200202012020022211011120
42312221003303101000
511203113111433430
6230031443112240
720111533266330
oct2665103632100
9622166284146
10196109874240
1176195a03135
1232010972680
13156543ba807
1496c55ad0c0
15517bba4610
hex2da90f3440

196109874240 has 448 divisors, whose sum is σ = 718937856000. Its totient is φ = 44365824000.

The previous prime is 196109874199. The next prime is 196109874307. The reversal of 196109874240 is 42478901691.

It is a tau number, because it is divible by the number of its divisors (448).

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, 393005511 + ... + 393006009.

It is an arithmetic number, because the mean of its divisors is an integer number (1604772000).

Almost surely, 2196109874240 is an apocalyptic number.

196109874240 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 196109874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359468928000).

196109874240 is an abundant number, since it is smaller than the sum of its proper divisors (522827981760).

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

196109874240 is a wasteful number, since it uses less digits than its factorization.

196109874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 196109874240 in words is "one hundred ninety-six billion, one hundred nine million, eight hundred seventy-four thousand, two hundred forty".