Search a number
-
+
18172140480 = 26335131731307
BaseRepresentation
bin10000111011001001…
…001101101111000000
31201220110002101101000
4100323021031233000
5244204031443410
612203112012000
71212215434254
oct207311155700
951813071330
1018172140480
11778577711a
123631991000
131937ab1c60
14c4563a264
1571555cdc0
hex43b24dbc0

18172140480 has 896 divisors, whose sum is σ = 75703541760. Its totient is φ = 4060938240.

The previous prime is 18172140473. The next prime is 18172140533. The reversal of 18172140480 is 8404127181.

18172140480 is a `hidden beast` number, since 1 + 8 + 172 + 1 + 4 + 0 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59192487 + ... + 59192793.

It is an arithmetic number, because the mean of its divisors is an integer number (84490560).

Almost surely, 218172140480 is an apocalyptic number.

18172140480 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 18172140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37851770880).

18172140480 is an abundant number, since it is smaller than the sum of its proper divisors (57531401280).

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

18172140480 is a wasteful number, since it uses less digits than its factorization.

18172140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 18172140480 in words is "eighteen billion, one hundred seventy-two million, one hundred forty thousand, four hundred eighty".