Search a number
-
+
78346127872 = 29612508521
BaseRepresentation
bin100100011110111001…
…0110000101000000000
321111020002001122221201
41020331302300220000
52240423102042442
655554113230544
75442330045655
oct1107562605000
9244202048851
1078346127872
113025438a511
1213225b62454
1375075b935c
143b1325dc2c
1520881cc7b7
hex123dcb0a00

78346127872 has 40 divisors (see below), whose sum is σ = 159105516372. Its totient is φ = 38530867200.

The previous prime is 78346127861. The next prime is 78346127927. The reversal of 78346127872 is 27872164387.

It can be written as a sum of positive squares in 2 ways, for example, as 63980667136 + 14365460736 = 252944^2 + 119856^2 .

It is a super-2 number, since 2×783461278722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1223029 + ... + 1285492.

Almost surely, 278346127872 is an apocalyptic number.

It is an amenable number.

78346127872 is an abundant number, since it is smaller than the sum of its proper divisors (80759388500).

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

78346127872 is an equidigital number, since it uses as much as digits as its factorization.

78346127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508600 (or 2508584 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 55.

The spelling of 78346127872 in words is "seventy-eight billion, three hundred forty-six million, one hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1952 3904 7808 15616 31232 2508521 5017042 10034084 20068168 40136336 80272672 153019781 160545344 306039562 321090688 612079124 642181376 1224158248 1284362752 2448316496 4896632992 9793265984 19586531968 39173063936 78346127872