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2137353528 = 233314366809
BaseRepresentation
bin111111101100101…
…0110110100111000
312111221210210211210
41333121112310320
513334130303103
6552030523120
7103652130252
oct17731266470
95457723753
102137353528
119a7531382
124b79664a0
13280a68c3b
14163c10cd2
15c7994e03
hex7f656d38

2137353528 has 64 divisors (see below), whose sum is σ = 5644108800. Its totient is φ = 673424640.

The previous prime is 2137353511. The next prime is 2137353583. The reversal of 2137353528 is 8253537312.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1413 + ... + 65396.

It is an arithmetic number, because the mean of its divisors is an integer number (88189200).

Almost surely, 22137353528 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 2137353528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822054400).

2137353528 is an abundant number, since it is smaller than the sum of its proper divisors (3506755272).

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

2137353528 is a wasteful number, since it uses less digits than its factorization.

2137353528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66892 (or 66888 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 2137353528 is about 46231.5209353964. The cubic root of 2137353528 is about 1288.1273085714.

The spelling of 2137353528 in words is "two billion, one hundred thirty-seven million, three hundred fifty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 186 248 258 344 372 516 744 1032 1333 2666 3999 5332 7998 10664 15996 31992 66809 133618 200427 267236 400854 534472 801708 1603416 2071079 2872787 4142158 5745574 6213237 8284316 8618361 11491148 12426474 16568632 17236722 22982296 24852948 34473444 49705896 68946888 89056397 178112794 267169191 356225588 534338382 712451176 1068676764 2137353528