Search a number
-
+
120506549873944 = 23139744111891471
BaseRepresentation
bin11011011001100110011110…
…000110010010110100011000
3120210200022110122201211002211
4123121212132012102310120
5111243334403231431234
61104143540022404504
734245211434110113
oct3331463606226430
9523608418654084
10120506549873944
11354405a4893973
1211622b87890734
13523194653b4b0
1421a879611b57a
15dde9ba2dc164
hex6d999e192d18

120506549873944 has 32 divisors (see below), whose sum is σ = 243333051071040. Its totient is φ = 55617832166400.

The previous prime is 120506549873939. The next prime is 120506549874001. The reversal of 120506549873944 is 449378945605021.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 120506549873944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4188129 + ... + 16079599.

It is an arithmetic number, because the mean of its divisors is an integer number (7604157845970).

It is a 1-persistent number, because it is pandigital, but 2⋅120506549873944 = 241013099747888 is not.

Almost surely, 2120506549873944 is an apocalyptic number.

It is an amenable number.

120506549873944 is an abundant number, since it is smaller than the sum of its proper divisors (122826501197096).

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

120506549873944 is a wasteful number, since it uses less digits than its factorization.

120506549873944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988931 (or 11988927 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 120506549873944 in words is "one hundred twenty trillion, five hundred six billion, five hundred forty-nine million, eight hundred seventy-three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 97441 194882 389764 779528 1266733 2533466 5066932 10133864 11891471 23782942 47565884 95131768 154589123 309178246 618356492 1236712984 1158716825711 2317433651422 4634867302844 9269734605688 15063318734243 30126637468486 60253274936972 120506549873944