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104647434804 = 223211674339109
BaseRepresentation
bin110000101110101111…
…0010010001000110100
3101000010001121111021200
41201131132102020310
53203304220403204
6120024021412500
710363155343053
oct1413536221064
9330101544250
10104647434804
1140420826710
121834626a130
139b395c7673
1450ca38839a
152ac724c539
hex185d792234

104647434804 has 144 divisors (see below), whose sum is σ = 293588917440. Its totient is φ = 31162475520.

The previous prime is 104647434797. The next prime is 104647434809. The reversal of 104647434804 is 408434746401.

It is a happy number.

104647434804 is a `hidden beast` number, since 10 + 464 + 74 + 34 + 80 + 4 = 666.

It is a super-2 number, since 2×1046474348042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104647434804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104647434809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11483802 + ... + 11492910.

Almost surely, 2104647434804 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 104647434804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146794458720).

104647434804 is an abundant number, since it is smaller than the sum of its proper divisors (188941482636).

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

104647434804 is a wasteful number, since it uses less digits than its factorization.

104647434804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 104647434804 in words is "one hundred four billion, six hundred forty-seven million, four hundred thirty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 433 603 737 804 866 1206 1299 1474 1732 2211 2412 2598 2948 3897 4422 4763 5196 6633 7794 8844 9109 9526 13266 14289 15588 18218 19052 26532 27327 28578 29011 36436 42867 54654 57156 58022 81981 85734 87033 100199 109308 116044 163962 171468 174066 200398 261099 300597 319121 327924 348132 400796 522198 601194 610303 638242 901791 957363 1044396 1202388 1220606 1276484 1803582 1830909 1914726 2441212 2872089 3607164 3661818 3829452 3944197 5492727 5744178 6713333 7323636 7888394 10985454 11488356 11832591 13426666 15776788 20139999 21970908 23665182 26853332 35497773 40279998 43386167 47330364 60419997 70995546 80559996 86772334 120839994 130158501 141991092 173544668 241679988 260317002 264261199 390475503 520634004 528522398 780951006 792783597 1057044796 1561902012 1585567194 2378350791 2906873189 3171134388 4756701582 5813746378 8720619567 9513403164 11627492756 17441239134 26161858701 34882478268 52323717402 104647434804