Search a number
-
+
78031488780 = 22335720643251
BaseRepresentation
bin100100010101100001…
…0100000011100001100
321110102011000100021000
41020223002200130030
52234302030120110
655502553340300
75431456465560
oct1105302403414
9243364010230
1078031488780
1130102817503
1213158707690
13748736428b
143ac35596a0
15206a77b1c0
hex122b0a070c

78031488780 has 96 divisors (see below), whose sum is σ = 277445306880. Its totient is φ = 17835768000.

The previous prime is 78031488767. The next prime is 78031488781. The reversal of 78031488780 is 8788413087.

78031488780 is a `hidden beast` number, since 7 + 80 + 3 + 1 + 488 + 7 + 80 = 666.

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 (78031488781) 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 31 ways as a sum of consecutive naturals, for example, 10317846 + ... + 10325405.

It is an arithmetic number, because the mean of its divisors is an integer number (2890055280).

Almost surely, 278031488780 is an apocalyptic number.

78031488780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78031488780 is an abundant number, since it is smaller than the sum of its proper divisors (199413818100).

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

78031488780 is a wasteful number, since it uses less digits than its factorization.

78031488780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20643276 (or 20643268 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 78031488780 in words is "seventy-eight billion, thirty-one million, four hundred eighty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 20643251 41286502 61929753 82573004 103216255 123859506 144502757 185789259 206432510 247719012 289005514 309648765 371578518 412865020 433508271 557367777 578011028 619297530 722513785 743157036 867016542 928946295 1114735554 1238595060 1300524813 1445027570 1734033084 1857892590 2167541355 2229471108 2601049626 2786838885 2890055140 3715785180 3901574439 4335082710 5202099252 5573677770 6502624065 7803148878 8670165420 11147355540 13005248130 15606297756 19507872195 26010496260 39015744390 78031488780