Search a number
-
+
85273488720 = 2434572271991
BaseRepresentation
bin100111101101010110…
…0100010110101010000
322011002212010001120000
41033122230202311100
52344120003114340
6103101334450000
76106104460200
oct1173254426520
9264085101500
1085273488720
1133189730222
1214639b03900
13806c83b444
1441ad2ac400
152341448d30
hex13dab22d50

85273488720 has 600 divisors, whose sum is σ = 346141559808. Its totient is φ = 19399564800.

The previous prime is 85273488691. The next prime is 85273488721. The reversal of 85273488720 is 2788437258.

85273488720 is a `hidden beast` number, since 8 + 527 + 3 + 48 + 8 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85273488721) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86047425 + ... + 86048415.

Almost surely, 285273488720 is an apocalyptic number.

85273488720 is a gapful number since it is divisible by the number (80) 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 85273488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173070779904).

85273488720 is an abundant number, since it is smaller than the sum of its proper divisors (260868071088).

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

85273488720 is a wasteful number, since it uses less digits than its factorization.

85273488720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 85273488720 in words is "eighty-five billion, two hundred seventy-three million, four hundred eighty-eight thousand, seven hundred twenty".