Search a number
-
+
201889926811320 = 23351123112312374787
BaseRepresentation
bin101101111001111000101001…
…010111110000111010111000
3222110211111012010100120011120
4231321320221113300322320
5202430231032230430240
61553214541344025240
760345031410205206
oct5571705127607270
9873744163316146
10201889926811320
1159368045475310
121a787754002220
1388861a510c337
1437bd74b6bc076
151851948818ad0
hexb79e295f0eb8

201889926811320 has 512 divisors, whose sum is σ = 690774164398080. Its totient is φ = 46725793044480.

The previous prime is 201889926811303. The next prime is 201889926811357. The reversal of 201889926811320 is 23118629988102.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42174621967 + ... + 42174626753.

It is an arithmetic number, because the mean of its divisors is an integer number (1349168289840).

Almost surely, 2201889926811320 is an apocalyptic number.

201889926811320 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 201889926811320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345387082199040).

201889926811320 is an abundant number, since it is smaller than the sum of its proper divisors (488884237586760).

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

201889926811320 is a wasteful number, since it uses less digits than its factorization.

201889926811320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 201889926811320 in words is "two hundred one trillion, eight hundred eighty-nine billion, nine hundred twenty-six million, eight hundred eleven thousand, three hundred twenty".