Search a number
-
+
18379353216000 = 21035376837557
BaseRepresentation
bin1000010110111010001101…
…10100011101010000000000
32102002001022201121201120210
410023131012310131100000
54402111403410403000
6103031205221034120
73604602335450160
oct413350664352000
972061281551523
1018379353216000
1159467048181a7
12208a060255940
13a3421c9b6b5a
144777cb8045a0
1521d150d76350
hex10b746d1d400

18379353216000 has 352 divisors, whose sum is σ = 69870434280192. Its totient is φ = 4200994406400.

The previous prime is 18379353215989. The next prime is 18379353216019. The reversal of 18379353216000 is 61235397381.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730779 + ... + 6106778.

Almost surely, 218379353216000 is an apocalyptic number.

18379353216000 is a gapful number since it is divisible by the number (10) 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 18379353216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34935217140096).

18379353216000 is an abundant number, since it is smaller than the sum of its proper divisors (51491081064192).

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

18379353216000 is an equidigital number, since it uses as much as digits as its factorization.

18379353216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837602 (or 6837574 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 18379353216000 in words is "eighteen trillion, three hundred seventy-nine billion, three hundred fifty-three million, two hundred sixteen thousand".