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2537143072 = 25531519907
BaseRepresentation
bin1001011100111001…
…1011101100100000
320112211002012222221
42113032123230200
520144002034242
61055431440424
7116605234402
oct22716335440
96484065887
102537143072
111092173162
125a9826114
133158357b9
141a0d5cb72
15ecb16167
hex9739bb20

2537143072 has 48 divisors (see below), whose sum is σ = 5123466432. Its totient is φ = 1236268800.

The previous prime is 2537143051. The next prime is 2537143073. The reversal of 2537143072 is 2703417352.

2537143072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2537143073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251143 + ... + 261049.

It is an arithmetic number, because the mean of its divisors is an integer number (106738884).

Almost surely, 22537143072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2537143072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561733216).

2537143072 is an abundant number, since it is smaller than the sum of its proper divisors (2586323360).

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

2537143072 is a wasteful number, since it uses less digits than its factorization.

2537143072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10121 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 2537143072 is about 50370.0612665897. The cubic root of 2537143072 is about 1363.8972468985.

The spelling of 2537143072 in words is "two billion, five hundred thirty-seven million, one hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 53 106 151 212 302 424 604 848 1208 1696 2416 4832 8003 9907 16006 19814 32012 39628 64024 79256 128048 158512 256096 317024 525071 1050142 1495957 2100284 2991914 4200568 5983828 8401136 11967656 16802272 23935312 47870624 79285721 158571442 317142884 634285768 1268571536 2537143072