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10189138288 = 247412937573
BaseRepresentation
bin10010111110101000…
…11110100101110000
3222022002122212002011
421133110132211300
5131331404411123
64403020332304
7510332150350
oct113724364560
928262585064
1010189138288
11435955944a
121b843a4094
13c64c40914
146c9318b60
153e97bde0d
hex25f51e970

10189138288 has 80 divisors (see below), whose sum is σ = 23193890496. Its totient is φ = 4245166080.

The previous prime is 10189138283. The next prime is 10189138291. The reversal of 10189138288 is 88283198101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10189138283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341670 + ... + 1349242.

Almost surely, 210189138288 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 10189138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11596945248).

10189138288 is an abundant number, since it is smaller than the sum of its proper divisors (13004752208).

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

10189138288 is a wasteful number, since it uses less digits than its factorization.

10189138288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 49.

It can be divided in two parts, 1018913 and 8288, that added together give a palindrome (1027201).

The spelling of 10189138288 in words is "ten billion, one hundred eighty-nine million, one hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 293 328 574 586 656 1148 1172 2051 2296 2344 4102 4592 4688 7573 8204 12013 15146 16408 24026 30292 32816 48052 53011 60584 84091 96104 106022 121168 168182 192208 212044 310493 336364 424088 620986 672728 848176 1241972 1345456 2173451 2218889 2483944 4346902 4437778 4967888 8693804 8875556 15532223 17387608 17751112 31064446 34775216 35502224 62128892 90974449 124257784 181948898 248515568 363897796 636821143 727795592 1273642286 1455591184 2547284572 5094569144 10189138288