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5345345440 = 255137243857
BaseRepresentation
bin1001111101001101…
…10111111110100000
3111210112012200110001
410332212313332200
541421402023230
62242225145344
7246314454331
oct47646677640
914715180401
105345345440
1122a3343166
12105218b254
136725752c6
14389cba288
152144210ca
hex13e9b7fa0

5345345440 has 48 divisors (see below), whose sum is σ = 12720608712. Its totient is φ = 2122522624.

The previous prime is 5345345431. The next prime is 5345345471. The reversal of 5345345440 is 445435435.

It can be written as a sum of positive squares in 4 ways, for example, as 4623456016 + 721889424 = 67996^2 + 26868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5345345440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100009 + ... + 143848.

Almost surely, 25345345440 is an apocalyptic number.

It is an amenable number.

5345345440 is an abundant number, since it is smaller than the sum of its proper divisors (7375263272).

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

5345345440 is a wasteful number, since it uses less digits than its factorization.

5345345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244009 (or 244001 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

The square root of 5345345440 is about 73111.8693510158. The cubic root of 5345345440 is about 1748.4716386564.

The spelling of 5345345440 in words is "five billion, three hundred forty-five million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 243857 487714 975428 1219285 1950856 2438570 3901712 4877140 7803424 9754280 19508560 33408409 39017120 66816818 133633636 167042045 267267272 334084090 534534544 668168180 1069069088 1336336360 2672672720 5345345440