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196827402240 = 21232572193137
BaseRepresentation
bin1011011101001111010…
…0111101000000000000
3200211001020111000112200
42313103310331000000
511211100303332430
6230230554153200
720135365212600
oct2672364750000
9624036430480
10196827402240
1176523a34587
1232191122800
1315739c560b1
1497529cac00
1551beb8a460
hex2dd3d3d000

196827402240 has 1872 divisors, whose sum is σ = 885665963520. Its totient is φ = 40131624960.

The previous prime is 196827402127. The next prime is 196827402241. The reversal of 196827402240 is 42204728691.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196827402241) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5319659502 + ... + 5319659538.

It is an arithmetic number, because the mean of its divisors is an integer number (473112160).

Almost surely, 2196827402240 is an apocalyptic number.

196827402240 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 196827402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442832981760).

196827402240 is an abundant number, since it is smaller than the sum of its proper divisors (688838561280).

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

196827402240 is a wasteful number, since it uses less digits than its factorization.

196827402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 196827402240 in words is "one hundred ninety-six billion, eight hundred twenty-seven million, four hundred two thousand, two hundred forty".