Search a number
-
+
5351391760 = 2451113235983
BaseRepresentation
bin1001111101111011…
…11100001000010000
3111210221120212102211
410332331330020100
541424424014020
62243002521504
7246420036151
oct47675741020
914727525384
105351391760
1122a67a2920
121054206294
136738b1400
1438aa11928
15214c1785a
hex13ef7c210

5351391760 has 120 divisors (see below), whose sum is σ = 14697880704. Its totient is φ = 1796221440.

The previous prime is 5351391757. The next prime is 5351391797. The reversal of 5351391760 is 671931535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130729 + ... + 166711.

Almost surely, 25351391760 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 5351391760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348940352).

5351391760 is an abundant number, since it is smaller than the sum of its proper divisors (9346488944).

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

5351391760 is a wasteful number, since it uses less digits than its factorization.

5351391760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36033 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 40.

The square root of 5351391760 is about 73153.2074484776. The cubic root of 5351391760 is about 1749.1306441158.

The spelling of 5351391760 in words is "five billion, three hundred fifty-one million, three hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 169 176 208 220 260 286 338 440 520 572 676 715 845 880 1040 1144 1352 1430 1690 1859 2288 2704 2860 3380 3718 5720 6760 7436 9295 11440 13520 14872 18590 29744 35983 37180 71966 74360 143932 148720 179915 287864 359830 395813 467779 575728 719660 791626 935558 1439320 1583252 1871116 1979065 2338895 2878640 3166504 3742232 3958130 4677790 5145569 6081127 6333008 7484464 7916260 9355580 10291138 12162254 15832520 18711160 20582276 24324508 25727845 30405635 31665040 37422320 41164552 48649016 51455690 60811270 66892397 82329104 97298032 102911380 121622540 133784794 205822760 243245080 267569588 334461985 411645520 486490160 535139176 668923970 1070278352 1337847940 2675695880 5351391760