Search a number
-
+
5078706720 = 253514971011
BaseRepresentation
bin1001011101011011…
…01110101000100000
3111002221111000212220
410232231232220200
540400122103340
62155542151040
7236566203063
oct45655565040
914087430786
105078706720
11217688558a
12b98a22480
1362c258409
1436270c8da
151ead01ed0
hex12eb6ea20

5078706720 has 96 divisors (see below), whose sum is σ = 16105521600. Its totient is φ = 1345213440.

The previous prime is 5078706713. The next prime is 5078706739. The reversal of 5078706720 is 276078705.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 36015 + ... + 107025.

It is an arithmetic number, because the mean of its divisors is an integer number (167765850).

Almost surely, 25078706720 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 5078706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052760800).

5078706720 is an abundant number, since it is smaller than the sum of its proper divisors (11026814880).

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

5078706720 is a wasteful number, since it uses less digits than its factorization.

5078706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71178 (or 71170 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 5078706720 is about 71265.0455693393. The cubic root of 5078706720 is about 1718.9017145725.

The spelling of 5078706720 in words is "five billion, seventy-eight million, seven hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 11920 14304 17880 23840 35760 71011 71520 142022 213033 284044 355055 426066 568088 710110 852132 1065165 1136176 1420220 1704264 2130330 2272352 2840440 3408528 4260660 5680880 6817056 8521320 10580639 11361760 17042640 21161278 31741917 34085280 42322556 52903195 63483834 84645112 105806390 126967668 158709585 169290224 211612780 253935336 317419170 338580448 423225560 507870672 634838340 846451120 1015741344 1269676680 1692902240 2539353360 5078706720