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4888628640 = 25345753887
BaseRepresentation
bin1001000110110001…
…01000110110100000
3110121200211001210000
410203120220312200
540002442104030
62125032140000
7232100441430
oct44330506640
913550731700
104888628640
11208955a065
12b45237600
135cba6628c
143453902c0
151d92a7860
hex123628da0

4888628640 has 240 divisors, whose sum is σ = 19717834752. Its totient is φ = 1117380096.

The previous prime is 4888628623. The next prime is 4888628699. The reversal of 4888628640 is 468268884.

4888628640 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 628 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63777 + ... + 117663.

Almost surely, 24888628640 is an apocalyptic number.

4888628640 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 4888628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858917376).

4888628640 is an abundant number, since it is smaller than the sum of its proper divisors (14829206112).

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

4888628640 is a wasteful number, since it uses less digits than its factorization.

4888628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53921 (or 53904 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The square root of 4888628640 is about 69918.7288213966. The cubic root of 4888628640 is about 1697.1843402340.

The spelling of 4888628640 in words is "four billion, eight hundred eighty-eight million, six hundred twenty-eight thousand, six hundred forty".