Search a number
-
+
5192704863936 = 26343719269341
BaseRepresentation
bin100101110010000010101…
…0101000010111011000000
3200101102021112022111120000
41023210011111002323000
51140034124421121221
615013255022320000
71044106032035652
oct113440525027300
920342245274500
105192704863936
111722239581a97
126ba46a429000
132b8892bc3585
1413d484a426d2
159011a4cde26
hex4b905542ec0

5192704863936 has 140 divisors (see below), whose sum is σ = 15397000072080. Its totient is φ = 1730429775360.

The previous prime is 5192704863889. The next prime is 5192704863949. The reversal of 5192704863936 is 6393684072915.

5192704863936 is a `hidden beast` number, since 5 + 1 + 92 + 7 + 0 + 486 + 39 + 36 = 666.

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 19 ways as a sum of consecutive naturals, for example, 19144626 + ... + 19413966.

It is a 1-persistent number, because it is pandigital, but 2⋅5192704863936 = 10385409727872 is not.

Almost surely, 25192704863936 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 5192704863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698500036040).

5192704863936 is an abundant number, since it is smaller than the sum of its proper divisors (10204295208144).

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

5192704863936 is a wasteful number, since it uses less digits than its factorization.

5192704863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273084 (or 273065 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 5192704863936 in words is "five trillion, one hundred ninety-two billion, seven hundred four million, eight hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3719 5184 7438 11157 14876 22314 29752 33471 44628 59504 66942 89256 100413 119008 133884 178512 200826 238016 267768 269341 301239 357024 401652 535536 538682 602478 714048 803304 808023 1071072 1077364 1204956 1606608 1616046 2142144 2154728 2409912 2424069 3213216 3232092 4309456 4819824 4848138 6426432 6464184 7272207 8618912 9639648 9696276 12928368 14544414 17237824 19279296 19392552 21816621 25856736 29088828 38785104 43633242 51713472 58177656 77570208 87266484 116355312 155140416 174532968 232710624 349065936 465421248 698131872 1001679179 1396263744 2003358358 3005037537 4006716716 6010075074 8013433432 9015112611 12020150148 16026866864 18030225222 24040300296 27045337833 32053733728 36060450444 48080600592 54090675666 64107467456 72120900888 81136013499 96161201184 108181351332 144241801776 162272026998 192322402368 216362702664 288483603552 324544053996 432725405328 576967207104 649088107992 865450810656 1298176215984 1730901621312 2596352431968 5192704863936