Search a number
-
+
824160228474 = 2311131349273131
BaseRepresentation
bin10111111111000111100…
…01110001010001111010
32220210022010212111211110
423333203301301101322
5102000340004302344
61430340341541150
7113354313232632
oct13774361612172
92823263774743
10824160228474
11298584a65a70
121138897147b6
135c94451645b
142bc64d8d6c2
15166893d33b9
hexbfe3c7147a

824160228474 has 64 divisors (see below), whose sum is σ = 1817092569600. Its totient is φ = 247128024000.

The previous prime is 824160228457. The next prime is 824160228487. The reversal of 824160228474 is 474822061428.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2880889 + ... + 3154019.

It is an arithmetic number, because the mean of its divisors is an integer number (28392071400).

Almost surely, 2824160228474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824160228474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908546284800).

824160228474 is an abundant number, since it is smaller than the sum of its proper divisors (992932341126).

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

824160228474 is a wasteful number, since it uses less digits than its factorization.

824160228474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273627.

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 824160228474 in words is "eight hundred twenty-four billion, one hundred sixty million, two hundred twenty-eight thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 131 262 349 393 698 786 1047 1441 2094 2882 3839 4323 7678 8646 11517 23034 45719 91438 137157 273131 274314 502909 546262 819393 1005818 1508727 1638786 3004441 3017454 6008882 9013323 18026646 35780161 71560322 95322719 107340483 190645438 214680966 285968157 393581771 571936314 787163542 1048549909 1180745313 2097099818 2361490626 3145649727 6291299454 12487276189 24974552378 37461828567 74923657134 137360038079 274720076158 412080114237 824160228474