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10194589008 = 2432295346061
BaseRepresentation
bin10010111111010010…
…10001010101010000
3222022110220210001200
421133221101111100
5131334303322013
64403333231200
7510426401562
oct113751212520
928273823050
1010194589008
11436164167a
121b86192500
13c660cb8b6
146c9d37332
153e9ee8e73
hex25fa51550

10194589008 has 120 divisors (see below), whose sum is σ = 30072037320. Its totient is φ = 3219041280.

The previous prime is 10194589007. The next prime is 10194589039. The reversal of 10194589008 is 80098549101.

10194589008 is a `hidden beast` number, since 101 + 9 + 458 + 90 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 650862144 + 9543726864 = 25512^2 + 97692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10194589007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198298 + ... + 244358.

It is an arithmetic number, because the mean of its divisors is an integer number (250600311).

Almost surely, 210194589008 is an apocalyptic number.

10194589008 is a gapful number since it is divisible by the number (18) 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 10194589008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036018660).

10194589008 is an abundant number, since it is smaller than the sum of its proper divisors (19877448312).

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

10194589008 is a wasteful number, since it uses less digits than its factorization.

10194589008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46157 (or 46148 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10194589008 in words is "ten billion, one hundred ninety-four million, five hundred eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 53 58 72 87 106 116 144 159 174 212 232 261 318 348 424 464 477 522 636 696 848 954 1044 1272 1392 1537 1908 2088 2544 3074 3816 4176 4611 6148 7632 9222 12296 13833 18444 24592 27666 36888 46061 55332 73776 92122 110664 138183 184244 221328 276366 368488 414549 552732 736976 829098 1105464 1335769 1658196 2210928 2441233 2671538 3316392 4007307 4882466 5343076 6632784 7323699 8014614 9764932 10686152 12021921 14647398 16029228 19529864 21372304 21971097 24043842 29294796 32058456 39059728 43942194 48087684 58589592 64116912 70795757 87884388 96175368 117179184 141591514 175768776 192350736 212387271 283183028 351537552 424774542 566366056 637161813 849549084 1132732112 1274323626 1699098168 2548647252 3398196336 5097294504 10194589008