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2149373504 = 26413132617
BaseRepresentation
bin1000000000011100…
…1101011001000000
312112210102111011002
42000013031121000
513400214423004
6553140311132
7104156242025
oct20007153100
95483374132
102149373504
11a032a1143
124bb9a24a8
132833b7055
1416565d54c
15c8a6b61e
hex801cd640

2149373504 has 56 divisors (see below), whose sum is σ = 4384825368. Its totient is φ = 1044725760.

The previous prime is 2149373503. The next prime is 2149373543. The reversal of 2149373504 is 4053739412.

It can be written as a sum of positive squares in 4 ways, for example, as 11235904 + 2138137600 = 3352^2 + 46240^2 .

It is not an unprimeable number, because it can be changed into a prime (2149373503) 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, 820004 + ... + 822620.

It is an arithmetic number, because the mean of its divisors is an integer number (78300453).

Almost surely, 22149373504 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 2149373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192412684).

2149373504 is an abundant number, since it is smaller than the sum of its proper divisors (2235451864).

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

2149373504 is a wasteful number, since it uses less digits than its factorization.

2149373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 2149373504 is about 46361.3363051584. The cubic root of 2149373504 is about 1290.5375049090.

The spelling of 2149373504 in words is "two billion, one hundred forty-nine million, three hundred seventy-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 164 313 328 626 656 1252 1312 2504 2617 2624 5008 5234 10016 10468 12833 20032 20936 25666 41872 51332 83744 102664 107297 167488 205328 214594 410656 429188 819121 821312 858376 1638242 1716752 3276484 3433504 6552968 6867008 13105936 26211872 33583961 52423744 67167922 134335844 268671688 537343376 1074686752 2149373504