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29109091194 = 23217414575077
BaseRepresentation
bin11011000111000010…
…010111101101111010
32210010122220001020200
4123013002113231322
5434103411404234
621212244503030
72050231123041
oct330702275572
983118801220
1029109091194
1111388361067
1257846aaa76
13298b932721
1415a1db7558
15b557e5d99
hex6c7097b7a

29109091194 has 96 divisors (see below), whose sum is σ = 68571646416. Its totient is φ = 8888279040.

The previous prime is 29109091183. The next prime is 29109091223. The reversal of 29109091194 is 49119090192.

29109091194 is a `hidden beast` number, since 291 + 0 + 90 + 91 + 194 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24550815969 + 4558275225 = 156687^2 + 67515^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5730984 + ... + 5736060.

Almost surely, 229109091194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29109091194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34285823208).

29109091194 is an abundant number, since it is smaller than the sum of its proper divisors (39462555222).

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

29109091194 is a wasteful number, since it uses less digits than its factorization.

29109091194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 29109091194 in words is "twenty-nine billion, one hundred nine million, ninety-one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 457 697 738 914 1371 1394 2091 2742 4113 4182 5077 6273 7769 8226 10154 12546 15231 15538 18737 23307 30462 37474 45693 46614 56211 69921 86309 91386 112422 139842 168633 172618 208157 258927 318529 337266 416314 517854 624471 637058 776781 955587 1248942 1553562 1873413 1911174 2320189 2866761 3538669 3746826 4640378 5733522 6960567 7077338 10616007 13921134 20881701 21232014 31848021 39443213 41763402 63696042 78886426 95127749 118329639 190255498 236659278 285383247 354988917 570766494 709977834 856149741 1617171733 1712299482 3234343466 4851515199 9703030398 14554545597 29109091194