Search a number
-
+
20857715076 = 2231183222937
BaseRepresentation
bin10011011011001101…
…110111100110000100
31222211121110201010210
4103123031313212010
5320204033340301
613325405115420
71335605436642
oct233315674604
958747421123
1020857715076
118933700060
124061258b70
131c752b7753
14101c196192
158211e3ad6
hex4db377984

20857715076 has 72 divisors (see below), whose sum is σ = 53742082464. Its totient is φ = 6244096640.

The previous prime is 20857715057. The next prime is 20857715077. The reversal of 20857715076 is 67051775802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20857715077) 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 23 ways as a sum of consecutive naturals, for example, 897880 + ... + 920816.

It is an arithmetic number, because the mean of its divisors is an integer number (746417812).

Almost surely, 220857715076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20857715076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871041232).

20857715076 is an abundant number, since it is smaller than the sum of its proper divisors (32884367388).

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

20857715076 is a wasteful number, since it uses less digits than its factorization.

20857715076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23121 (or 23036 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 20857715076 in words is "twenty billion, eight hundred fifty-seven million, seven hundred fifteen thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 3652 5478 6889 10956 13778 20667 22937 27556 41334 45874 68811 75779 82668 91748 137622 151558 227337 252307 275244 303116 454674 504614 756921 909348 1009228 1513842 1903771 3027684 3807542 5711313 7615084 11422626 20941481 22845252 41882962 62824443 83765924 125648886 158012993 251297772 316025986 474038979 632051972 948077958 1738142923 1896155916 3476285846 5214428769 6952571692 10428857538 20857715076