Search a number
-
+
19152361473024 = 21031319198712703
BaseRepresentation
bin1000101101011010000011…
…01100111100010000000000
32111210221121000000212001010
410112231001230330100000
510002243014014114044
6104422250130440520
74014466241306043
oct426550154742000
974727530025033
1019152361473024
11611451a82899a
122193a33133140
13a8c0a18b4080
144a2d9d076c5a
152332e46b4bb9
hex116b41b3c400

19152361473024 has 352 divisors, whose sum is σ = 57901888737280. Its totient is φ = 5579625627648.

The previous prime is 19152361473013. The next prime is 19152361473029. The reversal of 19152361473024 is 42037416325191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19152361473029) 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 31 ways as a sum of consecutive naturals, for example, 1507697457 + ... + 1507710159.

Almost surely, 219152361473024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19152361473024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28950944368640).

19152361473024 is an abundant number, since it is smaller than the sum of its proper divisors (38749527264256).

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

19152361473024 is a wasteful number, since it uses less digits than its factorization.

19152361473024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14745 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 19152361473024 in words is "nineteen trillion, one hundred fifty-two billion, three hundred sixty-one million, four hundred seventy-three thousand, twenty-four".