Search a number
-
+
485373772800 = 21034527217281
BaseRepresentation
bin1110001000000101000…
…10000000010000000000
31201101211112101101110000
413010002202000100000
530423021141212200
61010551100240000
750032004665500
oct7040242002000
91641745341400
10485373772800
11177933928524
127a09a840000
1336a02b8c677
14196c68d7a00
15c95ba51300
hex7102880400

485373772800 has 1980 divisors, whose sum is σ = 2221577027604. Its totient is φ = 104044953600.

The previous prime is 485373772769. The next prime is 485373772813. The reversal of 485373772800 is 8277373584.

It is a happy number.

485373772800 is a `hidden beast` number, since 4 + 8 + 537 + 37 + 72 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4425974784 + 480947798016 = 66528^2 + 693504^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1727308660 + ... + 1727308940.

Almost surely, 2485373772800 is an apocalyptic number.

485373772800 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 485373772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110788513802).

485373772800 is an abundant number, since it is smaller than the sum of its proper divisors (1736203254804).

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

485373772800 is a wasteful number, since it uses less digits than its factorization.

485373772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 485373772800 in words is "four hundred eighty-five billion, three hundred seventy-three million, seven hundred seventy-two thousand, eight hundred".