Search a number
-
+
202076097428832 = 253114727726715503
BaseRepresentation
bin101101111100100110000010…
…000000010011110101100000
3222111111021201200012211022120
4231330212002000103311200
5202441303321420210312
61553440251054304240
760364342034303634
oct5574460200236540
9874437650184276
10202076097428832
1159429a9a981790
121a7b78501b8080
13889a904289a43
1437c876cc1adc4
1518566e2b0d28c
hexb7c982013d60

202076097428832 has 384 divisors, whose sum is σ = 593448039088128. Its totient is φ = 59682738124800.

The previous prime is 202076097428801. The next prime is 202076097428861. The reversal of 202076097428832 is 238824790670202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36721076193 + ... + 36721081695.

It is an arithmetic number, because the mean of its divisors is an integer number (1545437601792).

Almost surely, 2202076097428832 is an apocalyptic number.

202076097428832 is a gapful number since it is divisible by the number (22) 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 202076097428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296724019544064).

202076097428832 is an abundant number, since it is smaller than the sum of its proper divisors (391371941659296).

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

202076097428832 is a wasteful number, since it uses less digits than its factorization.

202076097428832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8522 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 202076097428832 in words is "two hundred two trillion, seventy-six billion, ninety-seven million, four hundred twenty-eight thousand, eight hundred thirty-two".