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2137983750 = 232547171597
BaseRepresentation
bin111111101101111…
…0000101100000110
312111222222211100100
41333123300230012
513334310440000
6552052224530
7103660363530
oct17733605406
95458884310
102137983750
119a7921921
124b800b146
13280c29a56
14163d36850
15c7a6ba00
hex7f6f0b06

2137983750 has 240 divisors, whose sum is σ = 7008981408. Its totient is φ = 459648000.

The previous prime is 2137983739. The next prime is 2137983751. The reversal of 2137983750 is 573897312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2137983696 and 2137983705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137983751) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1337952 + ... + 1339548.

Almost surely, 22137983750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137983750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504490704).

2137983750 is an abundant number, since it is smaller than the sum of its proper divisors (4870997658).

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

2137983750 is a wasteful number, since it uses less digits than its factorization.

2137983750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2137983750 is about 46238.3363671315. The cubic root of 2137983750 is about 1288.2539022586.

The spelling of 2137983750 in words is "two billion, one hundred thirty-seven million, nine hundred eighty-three thousand, seven hundred fifty".