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78831290432 = 264310922411
BaseRepresentation
bin100100101101010110…
…1100000100001000000
321112110212222110212102
41021122231200201000
52242421302243212
6100114204045532
75460340625036
oct1113255404100
9245425873772
1078831290432
1130483232304
12133405338a8
137583c77aab
143b5b872556
1520b5ab45c2
hex125ab60840

78831290432 has 84 divisors (see below), whose sum is σ = 161617767696. Its totient is φ = 38129978880.

The previous prime is 78831290431. The next prime is 78831290437. The reversal of 78831290432 is 23409213887.

It is a happy number.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78831290431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32695307 + ... + 32697717.

It is an arithmetic number, because the mean of its divisors is an integer number (1924021044).

Almost surely, 278831290432 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 78831290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80808883848).

78831290432 is an abundant number, since it is smaller than the sum of its proper divisors (82786477264).

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

78831290432 is a wasteful number, since it uses less digits than its factorization.

78831290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 78831290432 in words is "seventy-eight billion, eight hundred thirty-one million, two hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 109 172 218 344 436 688 872 1376 1744 2411 2752 3488 4687 4822 6976 9374 9644 11881 18748 19288 23762 37496 38576 47524 74992 77152 95048 103673 149984 154304 190096 207346 262799 299968 380192 414692 510883 525598 760384 829384 1021766 1051196 1658768 2043532 2102392 3317536 4087064 4204784 6635072 8174128 8409568 11300357 16348256 16819136 22600714 28645091 32696512 45201428 57290182 90402856 114580364 180805712 229160728 361611424 458321456 723222848 916642912 1231738913 1833285824 2463477826 4926955652 9853911304 19707822608 39415645216 78831290432