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4755041280 = 210335115359
BaseRepresentation
bin1000110110110110…
…00010110000000000
3110021101110010101000
410123123002300000
534214242310110
62103501012000
7225556120053
oct43333026000
913241403330
104755041280
112020107990
12b08554000
135aa1929c2
14331738a9a
151cc6bb1c0
hex11b6c2c00

4755041280 has 704 divisors, whose sum is σ = 19100966400. Its totient is φ = 1111818240.

The previous prime is 4755041279. The next prime is 4755041293. The reversal of 4755041280 is 821405574.

4755041280 is a `hidden beast` number, since 4 + 75 + 504 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×47550412802 = 45220835149008076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 80593891 + ... + 80593949.

Almost surely, 24755041280 is an apocalyptic number.

4755041280 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 4755041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550483200).

4755041280 is an abundant number, since it is smaller than the sum of its proper divisors (14345925120).

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

4755041280 is a wasteful number, since it uses less digits than its factorization.

4755041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4755041280 is about 68956.8073506887. The cubic root of 4755041280 is about 1681.5821829404.

The spelling of 4755041280 in words is "four billion, seven hundred fifty-five million, forty-one thousand, two hundred eighty".