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533194000944 = 243114219112633
BaseRepresentation
bin1111100001001001101…
…01101100101000110000
31212222021012120200012220
413300210311230220300
532213440131012234
61044540153521040
753344021141323
oct7604465545060
91788235520186
10533194000944
11196143127730
1287405713180
133b384160c57
141bb419347ba
15dd09d72a49
hex7c24d6ca30

533194000944 has 160 divisors (see below), whose sum is σ = 1508432882688. Its totient is φ = 160952064000.

The previous prime is 533194000919. The next prime is 533194001009. The reversal of 533194000944 is 449000491335.

It is a super-2 number, since 2×5331940009442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 533194000896 and 533194000905.

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, 202503052 + ... + 202505684.

Almost surely, 2533194000944 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 533194000944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754216441344).

533194000944 is an abundant number, since it is smaller than the sum of its proper divisors (975238881744).

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

533194000944 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (533194000943) it forms an eRAP, since the sums of their prime factors are consecutive (3986 and 3987).

533194000944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 533194000944 in words is "five hundred thirty-three billion, one hundred ninety-four million, nine hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 421 528 842 911 1263 1684 1822 2526 2633 2733 3368 3644 4631 5052 5266 5466 6736 7288 7899 9262 10021 10104 10532 10932 13893 14576 15798 18524 20042 20208 21064 21864 27786 28963 30063 31596 37048 40084 42128 43728 55572 57926 60126 63192 74096 80168 86889 111144 115852 120252 126384 160336 173778 222288 231704 240504 347556 383531 463408 481008 695112 767062 1108493 1150593 1390224 1534124 2216986 2301186 2398663 3068248 3325479 4218841 4433972 4602372 4797326 6136496 6650958 7195989 8437682 8867944 9204744 9594652 12193423 12656523 13301916 14391978 16875364 17735888 18409488 19189304 24386846 25313046 26385293 26603832 28783956 33750728 36580269 38378608 48773692 50626092 52770586 53207664 57567912 67501456 73160538 79155879 97547384 101252184 105541172 115135824 146321076 158311758 195094768 202504368 211082344 292642152 316623516 422164688 585284304 633247032 1009837123 1266494064 2019674246 3029511369 4039348492 6059022738 8078696984 11108208353 12118045476 16157393968 22216416706 24236090952 33324625059 44432833412 48472181904 66649250118 88865666824 133298500236 177731333648 266597000472 533194000944