Search a number
-
+
1090020078528 = 263531276171367
BaseRepresentation
bin11111101110010100100…
…00100111001111000000
310212012112101002020011120
433313022100213033000
5120324330120003103
62152425345112240
7141515466536403
oct17671220471700
93765471066146
101090020078528
11390302a10307
12157305628680
137ba332cabb4
143aa85c8dd3a
151d54975c253
hexfdca4273c0

1090020078528 has 224 divisors, whose sum is σ = 2968533909504. Its totient is φ = 352846061568.

The previous prime is 1090020078479. The next prime is 1090020078529. The reversal of 1090020078528 is 8258700200901.

1090020078528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1090020078528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090020078529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797380501 + ... + 797381867.

Almost surely, 21090020078528 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 1090020078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484266954752).

1090020078528 is an abundant number, since it is smaller than the sum of its proper divisors (1878513830976).

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

1090020078528 is a wasteful number, since it uses less digits than its factorization.

1090020078528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 1090020078528 in words is "one trillion, ninety billion, twenty million, seventy-eight thousand, five hundred twenty-eight".