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4804151040 = 283351317237
BaseRepresentation
bin1000111100101100…
…11000011100000000
3110101210212011022000
410132112120130000
534314330313130
62112413344000
7230023416153
oct43626303400
913353764260
104804151040
1120458aa867
12b20a98000
135b73c8b30
1433807dc9a
151d1b6c260
hex11e598700

4804151040 has 864 divisors, whose sum is σ = 20030055360. Its totient is φ = 1082916864.

The previous prime is 4804150987. The next prime is 4804151087. The reversal of 4804151040 is 401514084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4804150995 and 4804151013.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 129841902 + ... + 129841938.

Almost surely, 24804151040 is an apocalyptic number.

4804151040 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 4804151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015027680).

4804151040 is an abundant number, since it is smaller than the sum of its proper divisors (15225904320).

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

4804151040 is a wasteful number, since it uses less digits than its factorization.

4804151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4804151040 is about 69311.9833794994. The cubic root of 4804151040 is about 1687.3514575422.

The spelling of 4804151040 in words is "four billion, eight hundred four million, one hundred fifty-one thousand, forty".