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73405412680 = 2351835135317
BaseRepresentation
bin100010001011101001…
…1011011010101001000
321000110202020022212011
41010113103123111020
52200313241201210
653415540425304
75206024466335
oct1042723332510
9230422208764
1073405412680
1129149495016
12122873a8234
136bcab17042
1437a4dd198c
151d99586d8a
hex11174db548

73405412680 has 16 divisors (see below), whose sum is σ = 165162178620. Its totient is φ = 29362165056.

The previous prime is 73405412671. The next prime is 73405412699. The reversal of 73405412680 is 8621450437.

It can be written as a sum of positive squares in 2 ways, for example, as 70891192516 + 2514220164 = 266254^2 + 50142^2 .

It is a super-2 number, since 2×734054126802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1835135317 = 73405412680 / (7 + 3 + 4 + 0 + 5 + 4 + 1 + 2 + 6 + 8 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917567619 + ... + 917567698.

Almost surely, 273405412680 is an apocalyptic number.

It is an amenable number.

73405412680 is an abundant number, since it is smaller than the sum of its proper divisors (91756765940).

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

73405412680 is a wasteful number, since it uses less digits than its factorization.

73405412680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835135328 (or 1835135324 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 73405412680 in words is "seventy-three billion, four hundred five million, four hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 1835135317 3670270634 7340541268 9175676585 14681082536 18351353170 36702706340 73405412680