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2473076480 = 28571973199
BaseRepresentation
bin1001001101101000…
…0010011100000000
320101100112022011012
42103122002130000
520031101421410
61045222340052
7115166542340
oct22332023400
96340468135
102473076480
111059a94a66
1259028a628
13305493884
14196642d20
15e71ad605
hex93682700

2473076480 has 288 divisors, whose sum is σ = 7260288000. Its totient is φ = 788299776.

The previous prime is 2473076399. The next prime is 2473076531. The reversal of 2473076480 is 846703742.

It is a super-2 number, since 2×24730764802 = 12232214551858380800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12427421 + ... + 12427619.

Almost surely, 22473076480 is an apocalyptic number.

2473076480 is a gapful number since it is divisible by the number (20) 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 2473076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630144000).

2473076480 is an abundant number, since it is smaller than the sum of its proper divisors (4787211520).

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

2473076480 is a wasteful number, since it uses less digits than its factorization.

2473076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 2473076480 is about 49730.0359943566. The cubic root of 2473076480 is about 1352.3191011787.

The spelling of 2473076480 in words is "two billion, four hundred seventy-three million, seventy-six thousand, four hundred eighty".