Search a number
-
+
150241527252 = 22324173375757
BaseRepresentation
bin1000101111101100010…
…1111100010111010100
3112100210120221100222100
42023323011330113110
54430143312333002
6153004153202100
713566060624225
oct2137305742724
9470716840870
10150241527252
1158798475153
122514b700330
13112246164ab
1473b38a324c
153d94ddd11c
hex22fb17c5d4

150241527252 has 18 divisors (see below), whose sum is σ = 379777193978. Its totient is φ = 50080509072.

The previous prime is 150241527211. The next prime is 150241527253. The reversal of 150241527252 is 252725142051.

150241527252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 148406775696 + 1834751556 = 385236^2 + 42834^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1502415272522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4173375757 = 150241527252 / (1 + 5 + 0 + 2 + 4 + 1 + 5 + 2 + 7 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150241527253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2086687843 + ... + 2086687914.

Almost surely, 2150241527252 is an apocalyptic number.

150241527252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150241527252 is an abundant number, since it is smaller than the sum of its proper divisors (229535666726).

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

150241527252 is a wasteful number, since it uses less digits than its factorization.

150241527252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173375767 (or 4173375762 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 150241527252 in words is "one hundred fifty billion, two hundred forty-one million, five hundred twenty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4173375757 8346751514 12520127271 16693503028 25040254542 37560381813 50080509084 75120763626 150241527252