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5419952304 = 2431327132051
BaseRepresentation
bin1010000110000110…
…11110100010110000
3111222201121002211020
411003003132202300
542100001433204
62253452215440
7251211556134
oct50303364260
914881532736
105419952304
112331470428
12107316a580
13684b67990
14395b7b3c4
1521ac5bbd9
hex1430de8b0

5419952304 has 80 divisors (see below), whose sum is σ = 15134697984. Its totient is φ = 1661472000.

The previous prime is 5419952299. The next prime is 5419952311. The reversal of 5419952304 is 4032599145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153079 + ... + 185129.

Almost surely, 25419952304 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 5419952304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567348992).

5419952304 is an abundant number, since it is smaller than the sum of its proper divisors (9714745680).

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

5419952304 is a wasteful number, since it uses less digits than its factorization.

5419952304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32346 (or 32340 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5419952304 is about 73620.3253456544. The cubic root of 5419952304 is about 1756.5687608508.

The spelling of 5419952304 in words is "five billion, four hundred nineteen million, nine hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 271 312 542 624 813 1084 1626 2168 3252 3523 4336 6504 7046 10569 13008 14092 21138 28184 32051 42276 56368 64102 84552 96153 128204 169104 192306 256408 384612 416663 512816 769224 833326 1249989 1538448 1666652 2499978 3333304 4999956 6666608 8685821 9999912 17371642 19999824 26057463 34743284 52114926 69486568 104229852 112915673 138973136 208459704 225831346 338747019 416919408 451662692 677494038 903325384 1354988076 1806650768 2709976152 5419952304