Search a number
-
+
196237434456 = 233471913916381
BaseRepresentation
bin1011011011000010101…
…0011001111001011000
3200202112010100112220000
42312300222121321120
511203343240400311
6230052241133000
720114642446110
oct2666052317130
9622463315800
10196237434456
1176250a08aa8
123204762a160
131567496092b
1496d84d6040
155187ea0056
hex2db0a99e58

196237434456 has 320 divisors, whose sum is σ = 666026592000. Its totient is φ = 52731544320.

The previous prime is 196237434443. The next prime is 196237434529. The reversal of 196237434456 is 654434732691.

196237434456 is a `hidden beast` number, since 1 + 9 + 623 + 7 + 4 + 3 + 4 + 4 + 5 + 6 = 666.

196237434456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11971386 + ... + 11987766.

It is an arithmetic number, because the mean of its divisors is an integer number (2081333100).

Almost surely, 2196237434456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196237434456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333013296000).

196237434456 is an abundant number, since it is smaller than the sum of its proper divisors (469789157544).

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

196237434456 is a wasteful number, since it uses less digits than its factorization.

196237434456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16564 (or 16551 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 196237434456 in words is "one hundred ninety-six billion, two hundred thirty-seven million, four hundred thirty-four thousand, four hundred fifty-six".