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4020202368 = 27347134261
BaseRepresentation
bin1110111110011111…
…0110101110000000
3101101011201102220000
43233213312232000
531213132433433
61502530520000
7201424104420
oct35747665600
911334642800
104020202368
1117833325a6
12942436000
134c0b75c90
142a1cd2480
15187e16113
hexef9f6b80

4020202368 has 320 divisors, whose sum is σ = 14728449120. Its totient is φ = 1060024320.

The previous prime is 4020202367. The next prime is 4020202379. The reversal of 4020202368 is 8632020204.

4020202368 is a `hidden beast` number, since 402 + 0 + 20 + 236 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020202363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 941358 + ... + 945618.

Almost surely, 24020202368 is an apocalyptic number.

4020202368 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 4020202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364224560).

4020202368 is an abundant number, since it is smaller than the sum of its proper divisors (10708246752).

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

4020202368 is a wasteful number, since it uses less digits than its factorization.

4020202368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4020202368 is about 63405.0657913072. The cubic root of 4020202368 is about 1590.0690037693.

The spelling of 4020202368 in words is "four billion, twenty million, two hundred two thousand, three hundred sixty-eight".