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152475101200 = 24521722422809
BaseRepresentation
bin1000111000000000111…
…0010110100000010000
3112120120020210200102101
42032000032112200100
54444232111214300
6154013542330144
714005321655512
oct2160016264020
9476506720371
10152475101200
1159734246334
1225673729954
13114bc2a1796
14754639dbb2
153e7603cb6a
hex2380396810

152475101200 has 60 divisors (see below), whose sum is σ = 387869767380. Its totient is φ = 57402388480.

The previous prime is 152475101159. The next prime is 152475101201. The reversal of 152475101200 is 2101574251.

It can be written as a sum of positive squares in 6 ways, for example, as 66064384 + 152409036816 = 8128^2 + 390396^2 .

It is not an unprimeable number, because it can be changed into a prime (152475101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11204605 + ... + 11218204.

It is an arithmetic number, because the mean of its divisors is an integer number (6464496123).

Almost surely, 2152475101200 is an apocalyptic number.

152475101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152475101200 is an abundant number, since it is smaller than the sum of its proper divisors (235394666180).

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

152475101200 is a wasteful number, since it uses less digits than its factorization.

152475101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22422844 (or 22422833 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

Adding to 152475101200 its reverse (2101574251), we get a palindrome (154576675451).

The spelling of 152475101200 in words is "one hundred fifty-two billion, four hundred seventy-five million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 22422809 44845618 89691236 112114045 179382472 224228090 358764944 381187753 448456180 560570225 762375506 896912360 1121140450 1524751012 1793824720 1905938765 2242280900 3049502024 3811877530 4484561800 6099004048 7623755060 8969123600 9529693825 15247510120 19059387650 30495020240 38118775300 76237550600 152475101200