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33434040012 = 22317714215483
BaseRepresentation
bin11111001000110100…
…101111011011001100
310012022002001012200020
4133020310233123030
51021433103240022
623205343302140
72262345436212
oct371064573314
9105262035606
1033434040012
11131a770a12a
126590baa950
1331ca978a39
141892556cb2
15d0a35735c
hex7c8d2f6cc

33434040012 has 96 divisors (see below), whose sum is σ = 83979431424. Its totient is φ = 10314931200.

The previous prime is 33434040001. The next prime is 33434040049. The reversal of 33434040012 is 21004043433.

It is a super-2 number, since 2×334340400122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6095023 + ... + 6100505.

It is an arithmetic number, because the mean of its divisors is an integer number (874785744).

Almost surely, 233434040012 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 33434040012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41989715712).

33434040012 is an abundant number, since it is smaller than the sum of its proper divisors (50545391412).

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

33434040012 is a wasteful number, since it uses less digits than its factorization.

33434040012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33434040012 its reverse (21004043433), we get a palindrome (54438083445).

The spelling of 33434040012 in words is "thirty-three billion, four hundred thirty-four million, forty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 421 426 842 852 1207 1263 1684 2414 2526 3621 4828 5052 5483 7157 7242 10966 14314 14484 16449 21471 21932 28628 29891 32898 42942 59782 65796 85884 89673 93211 119564 179346 186422 279633 358692 372844 389293 508147 559266 778586 1016294 1118532 1167879 1524441 1557172 2032588 2308343 2335758 3048882 4616686 4671516 6097764 6617981 6925029 9233372 13235962 13850058 19853943 26471924 27700116 39241831 39707886 78483662 79415772 117725493 156967324 163892353 235450986 327784706 470901972 491677059 655569412 983354118 1966708236 2786170001 5572340002 8358510003 11144680004 16717020006 33434040012