Search a number
-
+
20124467891550 = 233521123537397157
BaseRepresentation
bin1001001001101100101111…
…10000101000110101011110
32122020212202202202112011000
410210312113300220311132
510114204402240012200
6110445015233011130
74144642034445111
oct444662760506536
978225682675130
1020124467891550
116459814532210
12231030b6b3aa6
13b2c963011cc9
144d805ab12578
1524d73c1d6300
hex124d97c28d5e

20124467891550 has 1536 divisors, whose sum is σ = 66289397207040. Its totient is φ = 4440755404800.

The previous prime is 20124467891503. The next prime is 20124467891579. The reversal of 20124467891550 is 5519876442102.

20124467891550 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 4 + 6 + 7 + 89 + 1 + 550 = 666.

It is a super-2 number, since 2×201244678915502 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

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 767 ways as a sum of consecutive naturals, for example, 128181324072 + ... + 128181324228.

It is an arithmetic number, because the mean of its divisors is an integer number (43157159640).

Almost surely, 220124467891550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20124467891550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33144698603520).

20124467891550 is an abundant number, since it is smaller than the sum of its proper divisors (46164929315490).

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

20124467891550 is a wasteful number, since it uses less digits than its factorization.

20124467891550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20124467891550 in words is "twenty trillion, one hundred twenty-four billion, four hundred sixty-seven million, eight hundred ninety-one thousand, five hundred fifty".