Search a number
-
+
5198609920 = 2957241443
BaseRepresentation
bin1001101011101110…
…00111111000000000
3111102022002202011011
410311313013320000
541121321004140
62215504130304
7242553312100
oct46567077000
914368082134
105198609920
112228530639
121011006994
1364b04a25a
14374601200
152065d8cea
hex135dc7e00

5198609920 has 120 divisors (see below), whose sum is σ = 14499846504. Its totient is φ = 1782337536.

The previous prime is 5198609903. The next prime is 5198609939. The reversal of 5198609920 is 299068915.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104719 + ... + 146161.

Almost surely, 25198609920 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 5198609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249923252).

5198609920 is an abundant number, since it is smaller than the sum of its proper divisors (9301236584).

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

5198609920 is an equidigital number, since it uses as much as digits as its factorization.

5198609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41480 (or 41457 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

The square root of 5198609920 is about 72101.3863944377. The cubic root of 5198609920 is about 1732.3238197882.

The spelling of 5198609920 in words is "five billion, one hundred ninety-eight million, six hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 12544 15680 17920 25088 31360 41443 62720 82886 125440 165772 207215 290101 331544 414430 580202 663088 828860 1160404 1326176 1450505 1657720 2030707 2320808 2652352 2901010 3315440 4061414 4641616 5304704 5802020 6630880 8122828 9283232 10153535 10609408 11604040 13261760 16245656 18566464 20307070 21218816 23208080 26523520 32491312 37132928 40614140 46416160 53047040 64982624 74265856 81228280 92832320 106094080 129965248 148531712 162456560 185664640 259930496 324913120 371329280 519860992 649826240 742658560 1039721984 1299652480 2599304960 5198609920