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482960871120 = 2435713109202877
BaseRepresentation
bin1110000011100101011…
…01100000111011010000
31201011121101002021121010
413001302231200323100
530403100440333440
61005511423330520
746615135445640
oct7016255407320
91634541067533
10482960871120
11176905903802
1279726750a40
133670a0074b0
141953827a520
15c869ccc580
hex7072b60ed0

482960871120 has 320 divisors, whose sum is σ = 1859595978240. Its totient is φ = 100964081664.

The previous prime is 482960871101. The next prime is 482960871131. The reversal of 482960871120 is 21178069284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 482960871120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2279122 + ... + 2481998.

It is an arithmetic number, because the mean of its divisors is an integer number (5811237432).

Almost surely, 2482960871120 is an apocalyptic number.

482960871120 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 482960871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929797989120).

482960871120 is an abundant number, since it is smaller than the sum of its proper divisors (1376635107120).

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

482960871120 is a wasteful number, since it uses less digits than its factorization.

482960871120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203022 (or 203016 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 482960871120 in words is "four hundred eighty-two billion, nine hundred sixty million, eight hundred seventy-one thousand, one hundred twenty".