Search a number
-
+
20429266368 = 263753594861
BaseRepresentation
bin10011000001101011…
…011101110111000000
31221201202021021000010
4103001223131313000
5313314343010433
613215102024520
71322153620230
oct230153356700
957652237003
1020429266368
118733874215
123b61878140
131c075c52c4
14dbb307cc0
157e87b0e63
hex4c1adddc0

20429266368 has 224 divisors, whose sum is σ = 64019704320. Its totient is φ = 5628579840.

The previous prime is 20429266357. The next prime is 20429266373. The reversal of 20429266368 is 86366292402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×204292663682 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4200258 + ... + 4205118.

Almost surely, 220429266368 is an apocalyptic number.

20429266368 is a gapful number since it is divisible by the number (28) 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 20429266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32009852160).

20429266368 is an abundant number, since it is smaller than the sum of its proper divisors (43590437952).

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

20429266368 is a wasteful number, since it uses less digits than its factorization.

20429266368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 20429266368 in words is "twenty billion, four hundred twenty-nine million, two hundred sixty-six thousand, three hundred sixty-eight".