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2149737408 = 2635731331
BaseRepresentation
bin1000000000100010…
…0110001111000000
312112211002222100000
42000020212033000
513400313044113
6553152200000
7104162316000
oct20010461700
95484088300
102149737408
11a0351a595
124bbb39000
132834b3890
14165716000
15c8ade373
hex802263c0

2149737408 has 672 divisors, whose sum is σ = 8284057600. Its totient is φ = 548674560.

The previous prime is 2149737367. The next prime is 2149737427. The reversal of 2149737408 is 8047379412.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69346353 + ... + 69346383.

Almost surely, 22149737408 is an apocalyptic number.

2149737408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149737408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142028800).

2149737408 is an abundant number, since it is smaller than the sum of its proper divisors (6134320192).

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

2149737408 is an equidigital number, since it uses as much as digits as its factorization.

2149737408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2149737408 is about 46365.2607886551. The cubic root of 2149737408 is about 1290.6103331475.

The spelling of 2149737408 in words is "two billion, one hundred forty-nine million, seven hundred thirty-seven thousand, four hundred eight".