Search a number
-
+
485217008640 = 21034571322343
BaseRepresentation
bin1110000111110010010…
…11111111110000000000
31201101102121101221110000
413003321023333300000
530422211023234030
61010523340240000
750025062344230
oct7037113776000
91641377357400
10485217008640
11177863396271
127a056240000
13369a9562a00
14196adb6bcc0
15c94cdd7860
hex70f92ffc00

485217008640 has 2640 divisors, whose sum is σ = 2297520834048. Its totient is φ = 95647039488.

The previous prime is 485217008621. The next prime is 485217008729. The reversal of 485217008640 is 46800712584.

485217008640 is a `hidden beast` number, since 4 + 8 + 521 + 7 + 0 + 0 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11284116459 + ... + 11284116501.

Almost surely, 2485217008640 is an apocalyptic number.

485217008640 is a gapful number since it is divisible by the number (40) 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 485217008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148760417024).

485217008640 is an abundant number, since it is smaller than the sum of its proper divisors (1812303825408).

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

485217008640 is a wasteful number, since it uses less digits than its factorization.

485217008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 485217008640 in words is "four hundred eighty-five billion, two hundred seventeen million, eight thousand, six hundred forty".