Search a number
-
+
492151262151294 = 23356316188121247
BaseRepresentation
bin110111111100110111110010…
…1001010000000001001111110
32101112120012102122121200112000
41233321233211022000021332
51004001401241102320134
64502415100230323130
7205443520033132104
oct15771574512001176
92345505378550460
10492151262151294
111328a61a6144729
1247246265ab94a6
131817c884994685
148976369039c74
153bd6eb527ce99
hex1bf9be528027e

492151262151294 has 32 divisors (see below), whose sum is σ = 1095612046064640. Its totient is φ = 163759034524536.

The previous prime is 492151262151293. The next prime is 492151262151331.

492151262151294 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 5 + 1 + 2 + 621 + 5 + 1 + 2 + 9 + 4 = 666.

492151262151294 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4921512621512942 (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 492151262151294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492151262151293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8094030222 + ... + 8094091025.

It is an arithmetic number, because the mean of its divisors is an integer number (34237876439520).

Almost surely, 2492151262151294 is an apocalyptic number.

492151262151294 is an abundant number, since it is smaller than the sum of its proper divisors (603460783913346).

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

492151262151294 is a wasteful number, since it uses less digits than its factorization.

492151262151294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188121821 (or 16188121815 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 492151262151294 in words is "four hundred ninety-two trillion, one hundred fifty-one billion, two hundred sixty-two million, one hundred fifty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 563 1126 1689 3378 5067 10134 15201 30402 16188121247 32376242494 48564363741 97128727482 145693091223 291386182446 437079273669 874158547338 9113912262061 18227824524122 27341736786183 54683473572366 82025210358549 164050420717098 246075631075647 492151262151294