Search a number
-
+
67400734067316 = 223213207367694511
BaseRepresentation
bin11110101001100111101001…
…10011111100101001110100
322211122110002001012100101200
433110303310303330221310
532313243200410123231
6355203245245452500
720124354010526616
oct1724636463745164
9284573061170350
1067400734067316
111a52654427a451
127686869571130
132b7bb289218c0
1412902da416db6
157bd3ab34bbe6
hex3d4cf4cfca74

67400734067316 has 72 divisors (see below), whose sum is σ = 183480925065984. Its totient is φ = 20738557535040.

The previous prime is 67400734067309. The next prime is 67400734067353. The reversal of 67400734067316 is 61376043700476.

67400734067316 is a `hidden beast` number, since 67 + 40 + 0 + 73 + 406 + 73 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96700501 + ... + 97395011.

It is an arithmetic number, because the mean of its divisors is an integer number (2548346181472).

Almost surely, 267400734067316 is an apocalyptic number.

It is an amenable number.

67400734067316 is an abundant number, since it is smaller than the sum of its proper divisors (116080190998668).

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

67400734067316 is a wasteful number, since it uses less digits than its factorization.

67400734067316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901901 (or 901896 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 67400734067316 in words is "sixty-seven trillion, four hundred billion, seven hundred thirty-four million, sixty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 207367 414734 622101 694511 829468 1244202 1389022 1866303 2083533 2488404 2695771 2778044 3732606 4167066 5391542 6250599 7465212 8087313 8334132 9028643 10783084 12501198 16174626 18057286 24261939 25002396 27085929 32349252 36114572 48523878 54171858 81257787 97047756 108343716 162515574 325031148 144018662537 288037325074 432055987611 576074650148 864111975222 1296167962833 1728223950444 1872242612981 2592335925666 3744485225962 5184671851332 5616727838943 7488970451924 11233455677886 16850183516829 22466911355772 33700367033658 67400734067316