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4872205648464 = 24372112312692053
BaseRepresentation
bin100011011100110011000…
…0101100100001001010000
3122020210000101111102200020
41012321212011210021100
51114311234121222324
614210132124023440
71012001540460600
oct106714605441120
918223011442606
104872205648464
111609322085800
12668323991b80
132945a714b08b
1412bb5d1c8c00
1586b0d343679
hex46e66164250

4872205648464 has 720 divisors, whose sum is σ = 16682547248640. Its totient is φ = 1219538073600.

The previous prime is 4872205648447. The next prime is 4872205648481. The reversal of 4872205648464 is 4648465022784.

It is an interprime number because it is at equal distance from previous prime (4872205648447) and next prime (4872205648481).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4872205648398 and 4872205648407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2373211662 + ... + 2373213714.

It is an arithmetic number, because the mean of its divisors is an integer number (23170204512).

Almost surely, 24872205648464 is an apocalyptic number.

4872205648464 is a gapful number since it is divisible by the number (44) 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 4872205648464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341273624320).

4872205648464 is an abundant number, since it is smaller than the sum of its proper divisors (11810341600176).

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

4872205648464 is a wasteful number, since it uses less digits than its factorization.

4872205648464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 60.

The spelling of 4872205648464 in words is "four trillion, eight hundred seventy-two billion, two hundred five million, six hundred forty-eight thousand, four hundred sixty-four".