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152346044412 = 223289139342077
BaseRepresentation
bin1000110111100010001…
…0000010011111111100
3112120020020221220210100
42031320202002133330
54444001041410122
6153553052241100
714002164003612
oct2157042023774
9476206856710
10152346044412
1159678409031
1225638470190
131149b626413
1475331a76b2
153e69a48aac
hex23788827fc

152346044412 has 72 divisors (see below), whose sum is σ = 392226634800. Its totient is φ = 49850051328.

The previous prime is 152346044401. The next prime is 152346044419. The reversal of 152346044412 is 214440643251.

152346044412 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 4 + 604 + 4 + 41 + 2 = 666.

152346044412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152346044419) 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 23 ways as a sum of consecutive naturals, for example, 274318 + ... + 616394.

It is an arithmetic number, because the mean of its divisors is an integer number (5447592150).

Almost surely, 2152346044412 is an apocalyptic number.

152346044412 is a gapful number since it is divisible by the number (12) 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 152346044412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196113317400).

152346044412 is an abundant number, since it is smaller than the sum of its proper divisors (239880590388).

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

152346044412 is a wasteful number, since it uses less digits than its factorization.

152346044412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342315 (or 342310 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 152346044412 its reverse (214440643251), we get a palindrome (366786687663).

The spelling of 152346044412 in words is "one hundred fifty-two billion, three hundred forty-six million, forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 139 178 267 278 356 417 534 556 801 834 1068 1251 1602 1668 2502 3204 5004 12371 24742 37113 49484 74226 111339 148452 222678 342077 445356 684154 1026231 1368308 2052462 3078693 4104924 6157386 12314772 30444853 47548703 60889706 91334559 95097406 121779412 142646109 182669118 190194812 274003677 285292218 365338236 427938327 548007354 570584436 855876654 1096014708 1711753308 4231834567 8463669134 12695503701 16927338268 25391007402 38086511103 50782014804 76173022206 152346044412