Search a number
-
+
5349481520328 = 2332119769632947
BaseRepresentation
bin100110111011000010111…
…1100100001110011001000
3200221101221120020211101100
41031312011330201303020
51200121214232122303
615213303510221400
71061326065445641
oct115660574416310
920841846224340
105349481520328
11178277a948410
12724922654860
132ca5b940a38a
14146cb84126c8
1594243eab8a3
hex4dd85f21cc8

5349481520328 has 96 divisors (see below), whose sum is σ = 15968227635360. Its totient is φ = 1604343075840.

The previous prime is 5349481520321. The next prime is 5349481520351. The reversal of 5349481520328 is 8230251849435.

5349481520328 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 4 + 81 + 520 + 32 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5349481520321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34739650 + ... + 34893297.

It is an arithmetic number, because the mean of its divisors is an integer number (166335704535).

Almost surely, 25349481520328 is an apocalyptic number.

It is an amenable number.

5349481520328 is an abundant number, since it is smaller than the sum of its proper divisors (10618746115032).

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

5349481520328 is a wasteful number, since it uses less digits than its factorization.

5349481520328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69633067 (or 69633060 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5349481520328 in words is "five trillion, three hundred forty-nine billion, four hundred eighty-one million, five hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 132 194 198 264 291 388 396 582 776 792 873 1067 1164 1746 2134 2328 3201 3492 4268 6402 6984 8536 9603 12804 19206 25608 38412 76824 69632947 139265894 208898841 278531788 417797682 557063576 626696523 765962417 835595364 1253393046 1531924834 1671190728 2297887251 2506786092 3063849668 4595774502 5013572184 6127699336 6754395859 6893661753 9191549004 13508791718 13787323506 18383098008 20263187577 27017583436 27574647012 40526375154 54035166872 55149294024 60789562731 74298354449 81052750308 121579125462 148596708898 162105500616 222895063347 243158250924 297193417796 445790126694 486316501848 594386835592 668685190041 891580253388 1337370380082 1783160506776 2674740760164 5349481520328