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4772869920 = 253557131971
BaseRepresentation
bin1000111000111110…
…00011011100100000
3110022121222220200000
410130133003130200
534233323314140
62105335100000
7226163503440
oct43437033440
913277886600
104772869920
11202a1848a5
12b12511600
135b0a959b0
14333c5a120
151ce03da30
hex11c7c3720

4772869920 has 1152 divisors, whose sum is σ = 22190837760. Its totient is φ = 940584960.

The previous prime is 4772869919. The next prime is 4772869943. The reversal of 4772869920 is 299682774.

4772869920 is a `hidden beast` number, since 477 + 2 + 86 + 9 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67223485 + ... + 67223555.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 24772869920 is an apocalyptic number.

4772869920 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 4772869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095418880).

4772869920 is an abundant number, since it is smaller than the sum of its proper divisors (17417967840).

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

4772869920 is a wasteful number, since it uses less digits than its factorization.

4772869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4772869920 is about 69085.9603682253. The cubic root of 4772869920 is about 1683.6812135529.

The spelling of 4772869920 in words is "four billion, seven hundred seventy-two million, eight hundred sixty-nine thousand, nine hundred twenty".