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10189419876 = 2232417197231
BaseRepresentation
bin10010111110101011…
…00011010101100100
3222022010012011100100
421133111203111210
5131331442414001
64403030344100
7510334432326
oct113725432544
928263164310
1010189419876
114359730a69
121b844bb030
13c6500bb3c
146c938d616
153e9827586
hex25f563564

10189419876 has 72 divisors (see below), whose sum is σ = 26756690688. Its totient is φ = 3266928000.

The previous prime is 10189419869. The next prime is 10189419887. The reversal of 10189419876 is 67891498101.

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, 56181 + ... + 153411.

It is an arithmetic number, because the mean of its divisors is an integer number (371620704).

Almost surely, 210189419876 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 10189419876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378345344).

10189419876 is an abundant number, since it is smaller than the sum of its proper divisors (16567270812).

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

10189419876 is a wasteful number, since it uses less digits than its factorization.

10189419876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97353 (or 97348 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 10189419876 in words is "ten billion, one hundred eighty-nine million, four hundred nineteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 71 82 123 142 164 213 246 284 369 426 492 639 738 852 1278 1476 2556 2911 5822 8733 11644 17466 26199 34932 52398 97231 104796 194462 291693 388924 583386 875079 1166772 1750158 3500316 3986471 6903401 7972942 11959413 13806802 15945884 20710203 23918826 27613604 35878239 41420406 47837652 62130609 71756478 82840812 124261218 143512956 248522436 283039441 566078882 849118323 1132157764 1698236646 2547354969 3396473292 5094709938 10189419876