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152621663112 = 233217749119429
BaseRepresentation
bin1000111000100011110…
…1011100001110001000
3112120221110120210120100
42032020331130032020
510000032121204422
6154040255525400
714012051505642
oct2161075341610
9476843523510
10152621663112
11597a9a4a486
12256b4829860
13115137687c9
14755ba31892
153e83d3d7ac
hex2388f5c388

152621663112 has 48 divisors (see below), whose sum is σ = 413377087500. Its totient is φ = 50870595456.

The previous prime is 152621663111. The next prime is 152621663137. The reversal of 152621663112 is 211366126251.

152621663112 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 2 + 1 + 6 + 631 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128526552036 + 24095111076 = 358506^2 + 155226^2 .

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

It is not an unprimeable number, because it can be changed into a prime (152621663111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1218214 + ... + 1337642.

Almost surely, 2152621663112 is an apocalyptic number.

152621663112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152621663112 is an abundant number, since it is smaller than the sum of its proper divisors (260755424388).

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

152621663112 is a wasteful number, since it uses less digits than its factorization.

152621663112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137190 (or 137183 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 152621663112 its reverse (211366126251), we get a palindrome (363987789363).

The spelling of 152621663112 in words is "one hundred fifty-two billion, six hundred twenty-one million, six hundred sixty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17749 35498 53247 70996 106494 119429 141992 159741 212988 238858 319482 358287 425976 477716 638964 716574 955432 1074861 1277928 1433148 2149722 2866296 4299444 8598888 2119745321 4239490642 6359235963 8478981284 12718471926 16957962568 19077707889 25436943852 38155415778 50873887704 76310831556 152621663112