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2126437640 = 23553160941
BaseRepresentation
bin111111010111110…
…1101110100001000
312111012021020001122
41332233231310020
513323332001030
6551000534412
7103460264435
oct17657556410
95435236048
102126437640
119a1356088
124b4181408
1327b716532
141625acb8c
15c6a3a8e5
hex7ebedd08

2126437640 has 16 divisors (see below), whose sum is σ = 4784484780. Its totient is φ = 850575040.

The previous prime is 2126437627. The next prime is 2126437667. The reversal of 2126437640 is 467346212.

It can be written as a sum of positive squares in 2 ways, for example, as 2049735076 + 76702564 = 45274^2 + 8758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2126437640.

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 3 ways as a sum of consecutive naturals, for example, 26580431 + ... + 26580510.

Almost surely, 22126437640 is an apocalyptic number.

2126437640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126437640 is an abundant number, since it is smaller than the sum of its proper divisors (2658047140).

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

2126437640 is a wasteful number, since it uses less digits than its factorization.

2126437640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53160952 (or 53160948 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2126437640 is about 46113.3130451500. The cubic root of 2126437640 is about 1285.9306576002.

The spelling of 2126437640 in words is "two billion, one hundred twenty-six million, four hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53160941 106321882 212643764 265804705 425287528 531609410 1063218820 2126437640