Search a number
-
+
188819294742 = 23213192310717257
BaseRepresentation
bin1010111111011010000…
…0011100101000010110
3200001101010211000020200
42233312200130220112
511043200214412432
6222424204441330
716433055344451
oct2576640345026
9601333730220
10188819294742
1173094629921
1230717249246
1314a61b34950
1491d3212498
154da1adca7c
hex2bf681ca16

188819294742 has 192 divisors, whose sum is σ = 488481477120. Its totient is φ = 52152325632.

The previous prime is 188819294693. The next prime is 188819294753. The reversal of 188819294742 is 247492918881.

188819294742 is a `hidden beast` number, since 1 + 88 + 81 + 9 + 2 + 9 + 474 + 2 = 666.

188819294742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 188819294742.

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 95 ways as a sum of consecutive naturals, for example, 10932978 + ... + 10950234.

It is an arithmetic number, because the mean of its divisors is an integer number (2544174360).

Almost surely, 2188819294742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188819294742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244240738560).

188819294742 is an abundant number, since it is smaller than the sum of its proper divisors (299662182378).

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

188819294742 is a wasteful number, since it uses less digits than its factorization.

188819294742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17427 (or 17424 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 188819294742 in words is "one hundred eighty-eight billion, eight hundred nineteen million, two hundred ninety-four thousand, seven hundred forty-two".