Search a number
-
+
78017399424 = 273331728209
BaseRepresentation
bin100100010101000110…
…0110000101010000000
321110101011111112022000
41020222030300222000
52234234423240144
655501331344000
75431225644666
oct1105214605200
9243334445260
1078017399424
11300a5873a08
1213153a52000
137484470293
143ac172cc36
1520693e6769
hex122a330a80

78017399424 has 128 divisors (see below), whose sum is σ = 237687744000. Its totient is φ = 25166868480.

The previous prime is 78017399417. The next prime is 78017399429. The reversal of 78017399424 is 42499371087.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×780173994242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78017399429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256969 + ... + 471240.

It is an arithmetic number, because the mean of its divisors is an integer number (1856935500).

Almost surely, 278017399424 is an apocalyptic number.

It is an amenable number.

78017399424 is an abundant number, since it is smaller than the sum of its proper divisors (159670344576).

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

78017399424 is a wasteful number, since it uses less digits than its factorization.

78017399424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728263 (or 728245 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 78017399424 in words is "seventy-eight billion, seventeen million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 107136 728209 1456418 2184627 2912836 4369254 5825672 6553881 8738508 11651344 13107762 17477016 19661643 22574479 23302688 26215524 34954032 39323286 45148958 46605376 52431048 67723437 69908064 78646572 90297916 93210752 104862096 135446874 139816128 157293144 180595832 203170311 209724192 270893748 279632256 314586288 361191664 406340622 419448384 541787496 609510933 629172576 722383328 812681244 838896768 1083574992 1219021866 1258345152 1444766656 1625362488 2167149984 2438043732 2516690304 2889533312 3250724976 4334299968 4876087464 6501449952 8668599936 9752174928 13002899904 19504349856 26005799808 39008699712 78017399424