Search a number
-
+
10134569088 = 273275872141
BaseRepresentation
bin10010111000001000…
…10100000010000000
3222011021222110012200
421130010110002000
5131223422202323
64353350553200
7506100262440
oct113404240200
928137873180
1010134569088
114330777836
121b6a068800
13c56845857
146c1d92120
153e4ae0443
hex25c114080

10134569088 has 192 divisors, whose sum is σ = 33401833920. Its totient is φ = 2889308160.

The previous prime is 10134569077. The next prime is 10134569119. The reversal of 10134569088 is 88096543101.

10134569088 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 569 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4732498 + ... + 4734638.

It is an arithmetic number, because the mean of its divisors is an integer number (173967885).

Almost surely, 210134569088 is an apocalyptic number.

10134569088 is a gapful number since it is divisible by the number (18) 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 10134569088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700916960).

10134569088 is an abundant number, since it is smaller than the sum of its proper divisors (23267264832).

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

10134569088 is a wasteful number, since it uses less digits than its factorization.

10134569088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10134569088 in words is "ten billion, one hundred thirty-four million, five hundred sixty-nine thousand, eighty-eight".