Search a number
-
+
18420203520 = 217345347
BaseRepresentation
bin10001001001111011…
…100000000000000000
31202112201212021220000
4101021323200000000
5300211033003040
612243452520000
71221320101155
oct211173400000
952481767800
1018420203520
1178a27a75a4
1236a0a80000
1319772c6b14
14c6a57022c
1572c20d130
hex449ee0000

18420203520 has 360 divisors, whose sum is σ = 66229904664. Its totient is φ = 4897898496.

The previous prime is 18420203519. The next prime is 18420203551. The reversal of 18420203520 is 2530202481.

18420203520 is a `hidden beast` number, since 18 + 420 + 203 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53083987 + ... + 53084333.

Almost surely, 218420203520 is an apocalyptic number.

18420203520 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 18420203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33114952332).

18420203520 is an abundant number, since it is smaller than the sum of its proper divisors (47809701144).

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

18420203520 is an frugal number, since it uses more digits than its factorization.

18420203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 18420203520 in words is "eighteen billion, four hundred twenty million, two hundred three thousand, five hundred twenty".