Search a number
-
+
18742021452 = 223271143971621
BaseRepresentation
bin10001011101000111…
…001000110101001100
31210101011102100002200
4101131013020311030
5301340424141302
612335430321500
71232305360650
oct213507106514
953334370080
1018742021452
117a48423130
1237707b9290
1319c8b9362b
14c9b1c2a60
1574a5cb81c
hex45d1c8d4c

18742021452 has 288 divisors, whose sum is σ = 61100143104. Its totient is φ = 4702924800.

The previous prime is 18742021451. The next prime is 18742021511. The reversal of 18742021452 is 25412024781.

18742021452 is a `hidden beast` number, since 18 + 7 + 420 + 214 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18742021451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11561202 + ... + 11562822.

Almost surely, 218742021452 is an apocalyptic number.

18742021452 is a gapful number since it is divisible by the number (12) 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 18742021452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30550071552).

18742021452 is an abundant number, since it is smaller than the sum of its proper divisors (42358121652).

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

18742021452 is a wasteful number, since it uses less digits than its factorization.

18742021452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 18742021452 in words is "eighteen billion, seven hundred forty-two million, twenty-one thousand, four hundred fifty-two".