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2480873472 = 213327111923
BaseRepresentation
bin1001001111011111…
…0010000000000000
320101220012102121200
42103313302000000
520040100422342
61050101421200
7115323035160
oct22367620000
96356172550
102480873472
11106342aa60
12592a0a800
13306c9378c
141976b25a0
15e7bed94c
hex93df2000

2480873472 has 672 divisors, whose sum is σ = 9814072320. Its totient is φ = 583925760.

The previous prime is 2480873471. The next prime is 2480873489. The reversal of 2480873472 is 2743780842.

2480873472 is a `hidden beast` number, since 24 + 80 + 87 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2480873471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107864053 + ... + 107864075.

Almost surely, 22480873472 is an apocalyptic number.

2480873472 is a gapful number since it is divisible by the number (22) 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 2480873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907036160).

2480873472 is an abundant number, since it is smaller than the sum of its proper divisors (7333198848).

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

2480873472 is a wasteful number, since it uses less digits than its factorization.

2480873472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2480873472 is about 49808.3674898104. The cubic root of 2480873472 is about 1353.7387849584.

The spelling of 2480873472 in words is "two billion, four hundred eighty million, eight hundred seventy-three thousand, four hundred seventy-two".