Search a number
-
+
5159463040 = 275232691303
BaseRepresentation
bin1001100111000011…
…10010100010000000
3111022120102212201201
410303201302202000
541031310304130
62211545110544
7241566466204
oct46341624200
914276385651
105159463040
112208422a46
12bbba88454
13642bc1b14
1436d330b04
15202e54bca
hex133872880

5159463040 has 128 divisors (see below), whose sum is σ = 12928377600. Its totient is φ = 1965207552.

The previous prime is 5159463031. The next prime is 5159463073. The reversal of 5159463040 is 403649515.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51594630402 = 53240117722252083200, which contains 22 as substring.

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, 3959029 + ... + 3960331.

It is an arithmetic number, because the mean of its divisors is an integer number (101002950).

Almost surely, 25159463040 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 5159463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464188800).

5159463040 is an abundant number, since it is smaller than the sum of its proper divisors (7768914560).

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

5159463040 is a wasteful number, since it uses less digits than its factorization.

5159463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 5159463040 is about 71829.4023363692. The cubic root of 5159463040 is about 1727.9645768916.

The spelling of 5159463040 in words is "five billion, one hundred fifty-nine million, four hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 269 320 368 460 538 640 736 920 1076 1303 1345 1472 1840 2152 2606 2690 2944 3680 4304 5212 5380 6187 6515 7360 8608 10424 10760 12374 13030 14720 17216 20848 21520 24748 26060 29969 30935 34432 41696 43040 49496 52120 59938 61870 83392 86080 98992 104240 119876 123740 149845 166784 172160 197984 208480 239752 247480 299690 350507 395968 416960 479504 494960 599380 701014 791936 833920 959008 989920 1198760 1402028 1752535 1918016 1979840 2397520 2804056 3505070 3836032 3959680 4795040 5608112 7010140 8061661 9590080 11216224 14020280 16123322 19180160 22432448 28040560 32246644 40308305 44864896 56081120 64493288 80616610 112162240 128986576 161233220 224324480 257973152 322466440 515946304 644932880 1031892608 1289865760 2579731520 5159463040