Search a number
-
+
20114839680 = 273513261991
BaseRepresentation
bin10010101110111100…
…000001100010000000
31220220211121201200020
4102232330001202000
5312143344332210
613123550453440
71311315213315
oct225674014200
956824551606
1020114839680
118592336851
123a94504280
131b87415b00
14d8b65ad0c
157cada2770
hex4aef01880

20114839680 has 192 divisors, whose sum is σ = 69428560320. Its totient is φ = 4951265280.

The previous prime is 20114839663. The next prime is 20114839697. The reversal of 20114839680 is 8693841102.

It is an interprime number because it is at equal distance from previous prime (20114839663) and next prime (20114839697).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 293485 + ... + 355475.

It is an arithmetic number, because the mean of its divisors is an integer number (361607085).

Almost surely, 220114839680 is an apocalyptic number.

20114839680 is a gapful number since it is divisible by the number (20) 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 20114839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34714280160).

20114839680 is an abundant number, since it is smaller than the sum of its proper divisors (49313720640).

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

20114839680 is a wasteful number, since it uses less digits than its factorization.

20114839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62039 (or 62014 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 20114839680 in words is "twenty billion, one hundred fourteen million, eight hundred thirty-nine thousand, six hundred eighty".