Search a number
-
+
189088924192 = 2573317193547
BaseRepresentation
bin1011000000011010010…
…1000000001000100000
3200002001221011121022121
42300012211000020200
511044223231033232
6222511035514024
716442541223240
oct2600645001040
9602057147277
10189088924192
117321284a483
12307915b8914
1314aa595abbc
14921ad5bb20
154dba5ecd97
hex2c06940220

189088924192 has 96 divisors (see below), whose sum is σ = 427449415680. Its totient is φ = 80658167040.

The previous prime is 189088924159. The next prime is 189088924253. The reversal of 189088924192 is 291429880981.

189088924192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1890889241924 (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 189088924192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53307763 + ... + 53311309.

It is an arithmetic number, because the mean of its divisors is an integer number (4452598080).

Almost surely, 2189088924192 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 189088924192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213724707840).

189088924192 is an abundant number, since it is smaller than the sum of its proper divisors (238360491488).

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

189088924192 is a wasteful number, since it uses less digits than its factorization.

189088924192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 61.

The spelling of 189088924192 in words is "one hundred eighty-nine billion, eighty-eight million, nine hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 331 662 719 1324 1438 2317 2648 2876 3547 4634 5033 5296 5752 7094 9268 10066 10592 11504 14188 18536 20132 23008 24829 28376 37072 40264 49658 56752 74144 80528 99316 113504 161056 198632 237989 397264 475978 794528 951956 1174057 1665923 1903912 2348114 2550293 3331846 3807824 4696228 5100586 6663692 7615648 8218399 9392456 10201172 13327384 16436798 17852051 18784912 20402344 26654768 32873596 35704102 37569824 40804688 53309536 65747192 71408204 81609376 131494384 142816408 262988768 285632816 571265632 844146983 1688293966 3376587932 5909028881 6753175864 11818057762 13506351728 23636115524 27012703456 47272231048 94544462096 189088924192