Search a number
-
+
10091959632 = 2432292167499
BaseRepresentation
bin10010110011000011…
…10001010101010000
3222001022210200000200
421121201301111100
5131132020202012
64345225415200
7505042145556
oct113141612520
928038720020
1010091959632
114309714707
121b5793a500
13c4aa77361
146ba45dbd6
153e0ec53dc
hex259871550

10091959632 has 180 divisors, whose sum is σ = 29485092000. Its totient is φ = 3222067968.

The previous prime is 10091959627. The next prime is 10091959639. The reversal of 10091959632 is 23695919001.

It is a happy number.

10091959632 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 1 + 9 + 5 + 9 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091959639) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20224119 + ... + 20224617.

Almost surely, 210091959632 is an apocalyptic number.

10091959632 is a gapful number since it is divisible by the number (12) 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 10091959632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742546000).

10091959632 is an abundant number, since it is smaller than the sum of its proper divisors (19393132368).

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

10091959632 is a wasteful number, since it uses less digits than its factorization.

10091959632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 10091959632 in words is "ten billion, ninety-one million, nine hundred fifty-nine thousand, six hundred thirty-two".