Search a number
-
+
10190516994 = 232779212959
BaseRepresentation
bin10010111110110011…
…01111001100000010
3222022012020220022100
421133121233030002
5131332233020434
64403110051230
7510346652040
oct113731571402
928265226270
1010190516994
11435a310279
121b84949b16
13c65304318
146c9597390
153e9992699
hex25f66f302

10190516994 has 72 divisors (see below), whose sum is σ = 25559089920. Its totient is φ = 2874499056.

The previous prime is 10190516989. The next prime is 10190517049. The reversal of 10190516994 is 49961509101.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 779887 + ... + 792845.

It is an arithmetic number, because the mean of its divisors is an integer number (354987360).

Almost surely, 210190516994 is an apocalyptic number.

10190516994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10190516994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12779544960).

10190516994 is an abundant number, since it is smaller than the sum of its proper divisors (15368572926).

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

10190516994 is a wasteful number, since it uses less digits than its factorization.

10190516994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 10190516994 in words is "ten billion, one hundred ninety million, five hundred sixteen thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 6241 9954 12482 12959 18723 25918 37446 38877 43687 56169 77754 87374 90713 112338 116631 131061 181426 233262 262122 272139 393183 544278 786366 816417 1023761 1632834 2047522 3071283 6142566 7166327 9213849 14332654 18427698 21498981 42997962 64496943 80877119 128993886 161754238 242631357 485262714 566139833 727894071 1132279666 1455788142 1698419499 3396838998 5095258497 10190516994