Search a number
-
+
152331432462 = 2331111322310177
BaseRepresentation
bin1000110111011110101…
…0010011001000001110
3112120012020110112222000
42031313222103020032
54443433321314322
6153551411133130
714001625545306
oct2156752231016
9476166415860
10152331432462
1159670138940
12256335a41a6
13114985ab5b1
147531282606
153e6860e3ac
hex2377a9320e

152331432462 has 128 divisors (see below), whose sum is σ = 374263787520. Its totient is φ = 45542891520.

The previous prime is 152331432427. The next prime is 152331432469. The reversal of 152331432462 is 264234133251.

152331432462 is a `hidden beast` number, since 1 + 52 + 3 + 3 + 143 + 2 + 462 = 666.

152331432462 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152331432469) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14963118 + ... + 14973294.

It is an arithmetic number, because the mean of its divisors is an integer number (2923935840).

Almost surely, 2152331432462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152331432462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187131893760).

152331432462 is an abundant number, since it is smaller than the sum of its proper divisors (221932355058).

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

152331432462 is a wasteful number, since it uses less digits than its factorization.

152331432462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10529 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 152331432462 in words is "one hundred fifty-two billion, three hundred thirty-one million, four hundred thirty-two thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 113 198 223 226 297 339 446 594 669 678 1017 1243 1338 2007 2034 2453 2486 3051 3729 4014 4906 6021 6102 7359 7458 10177 11187 12042 14718 20354 22077 22374 25199 30531 33561 44154 50398 61062 66231 67122 75597 91593 111947 132462 151194 183186 223894 226791 274779 277189 335841 453582 549558 554378 671682 680373 831567 1007523 1150001 1360746 1663134 2015046 2269471 2300002 2494701 3022569 3450003 4538942 4989402 6045138 6808413 6900006 7484103 10350009 12650011 13616826 14968206 20425239 20700018 24964181 25300022 31050027 37950033 40850478 49928362 61275717 62100054 74892543 75900066 113850099 122551434 149785086 224677629 227700198 256450223 341550297 449355258 512900446 674032887 683100594 769350669 1348065774 1538701338 2308052007 2820952453 4616104014 5641904906 6924156021 8462857359 13848312042 16925714718 25388572077 50777144154 76165716231 152331432462