Search a number
-
+
20868242880 = 263521737753
BaseRepresentation
bin10011011011110110…
…000001110111000000
31222212100021120120110
4103123312001313000
5320214232233010
613330422511320
71336064065152
oct233366016700
958770246513
1020868242880
118939640821
124064895540
131c77532614
14101d736ad2
158220c3120
hex4dbd81dc0

20868242880 has 56 divisors (see below), whose sum is σ = 66256674192. Its totient is φ = 5564864512.

The previous prime is 20868242869. The next prime is 20868242903. The reversal of 20868242880 is 8824286802.

It is a happy number.

It is a super-3 number, since 3×208682428803 (a number of 32 digits) contains 333 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 7 ways as a sum of consecutive naturals, for example, 10867917 + ... + 10869836.

Almost surely, 220868242880 is an apocalyptic number.

20868242880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20868242880 is an abundant number, since it is smaller than the sum of its proper divisors (45388431312).

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

20868242880 is a wasteful number, since it uses less digits than its factorization.

20868242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21737773 (or 21737763 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 20868242880 in words is "twenty billion, eight hundred sixty-eight million, two hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 21737753 43475506 65213259 86951012 108688765 130426518 173902024 217377530 260853036 326066295 347804048 434755060 521706072 652132590 695608096 869510120 1043412144 1304265180 1391216192 1739020240 2086824288 2608530360 3478040480 4173648576 5217060720 6956080960 10434121440 20868242880