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2149409984 = 26237731889
BaseRepresentation
bin1000000000011101…
…0110010011000000
312112210111100012012
42000013112103000
513400222104414
6553141152052
7104156453261
oct20007262300
95483440165
102149409984
11a03316597
124bb9bb628
132833ca837
1416566c968
15c8a7733e
hex801d64c0

2149409984 has 56 divisors (see below), whose sum is σ = 4458797280. Its totient is φ = 1026105344.

The previous prime is 2149409981. The next prime is 2149409989. The reversal of 2149409984 is 4899049412.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2149409981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136912 + ... + 1138800.

It is an arithmetic number, because the mean of its divisors is an integer number (79621380).

Almost surely, 22149409984 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 2149409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229398640).

2149409984 is an abundant number, since it is smaller than the sum of its proper divisors (2309387296).

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

2149409984 is a wasteful number, since it uses less digits than its factorization.

2149409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 2149409984 is about 46361.7297347715. The cubic root of 2149409984 is about 1290.5448060352.

The spelling of 2149409984 in words is "two billion, one hundred forty-nine million, four hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 773 1472 1546 1889 3092 3778 6184 7556 12368 15112 17779 24736 30224 35558 43447 49472 60448 71116 86894 120896 142232 173788 284464 347576 568928 695152 1137856 1390304 1460197 2780608 2920394 5840788 11681576 23363152 33584531 46726304 67169062 93452608 134338124 268676248 537352496 1074704992 2149409984