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45967787712 = 2634711219229
BaseRepresentation
bin101010110011111001…
…001100011011000000
311101122120111120020000
4222303321030123000
51223120223201322
633041201120000
73215060514540
oct526371143300
9141576446200
1045967787712
1118549688300
128aaa629000
1344475803b2
142320dd3320
1512e08aa3ac
hexab3e4c6c0

45967787712 has 1260 divisors, whose sum is σ = 186886077840. Its totient is φ = 10921236480.

The previous prime is 45967787669. The next prime is 45967787713. The reversal of 45967787712 is 21778776954.

It is a super-2 number, since 2×459677877122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (41489280) is a multiple of the sum of its prime factors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 45967787712.

It is not an unprimeable number, because it can be changed into a prime (45967787713) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 1585096114 + ... + 1585096142.

It is an arithmetic number, because the mean of its divisors is an integer number (148322284).

Almost surely, 245967787712 is an apocalyptic number.

45967787712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45967787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93443038920).

45967787712 is an abundant number, since it is smaller than the sum of its proper divisors (140918290128).

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

45967787712 is a wasteful number, since it uses less digits than its factorization.

45967787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The spelling of 45967787712 in words is "forty-five billion, nine hundred sixty-seven million, seven hundred eighty-seven thousand, seven hundred twelve".