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4202698368 = 2731123181239
BaseRepresentation
bin1111101010000000…
…0001011010000000
3101211220010012100010
43322200001122000
532101342321433
61533010224520
7206101226631
oct37240013200
911756105303
104202698368
11186734a540
12993585140
1351c911c8b
142bc239888
15198e63e63
hexfa801680

4202698368 has 256 divisors, whose sum is σ = 12831436800. Its totient is φ = 1206374400.

The previous prime is 4202698349. The next prime is 4202698387. The reversal of 4202698368 is 8638962024.

It is an interprime number because it is at equal distance from previous prime (4202698349) and next prime (4202698387).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17584393 + ... + 17584631.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 24202698368 is an apocalyptic number.

4202698368 is a gapful number since it is divisible by the number (48) 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 4202698368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

4202698368 is an abundant number, since it is smaller than the sum of its proper divisors (8628738432).

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

4202698368 is a wasteful number, since it uses less digits than its factorization.

4202698368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4202698368 is about 64828.2220024582. Note that the first 3 decimals coincide. The cubic root of 4202698368 is about 1613.7740977869.

The spelling of 4202698368 in words is "four billion, two hundred two million, six hundred ninety-eight thousand, three hundred sixty-eight".