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2142991872 = 2932729491
BaseRepresentation
bin111111110111011…
…0111011000000000
312112100102021012100
41333232313120000
513342101214442
6552351430400
7104051062500
oct17756673000
95470367170
102142991872
119aa73256a
124b9825400
13281c91438
1416487ba00
15c820a84c
hex7fbb7600

2142991872 has 180 divisors, whose sum is σ = 7195344156. Its totient is φ = 612218880.

The previous prime is 2142991871. The next prime is 2142991891. The reversal of 2142991872 is 2781992412.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142991871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 221047 + ... + 230537.

Almost surely, 22142991872 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 2142991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597672078).

2142991872 is an abundant number, since it is smaller than the sum of its proper divisors (5052352284).

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

2142991872 is an equidigital number, since it uses as much as digits as its factorization.

2142991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529 (or 9503 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2142991872 is about 46292.4602068199. The cubic root of 2142991872 is about 1289.2590083752.

The spelling of 2142991872 in words is "two billion, one hundred forty-two million, nine hundred ninety-one thousand, eight hundred seventy-two".