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104174840004 = 223192137257683
BaseRepresentation
bin110000100000101001…
…1011110100011000100
3100221220010100012002120
41201001103132203010
53201322224340004
6115505100205540
710345356346464
oct1410123364304
9327803305076
10104174840004
11401a8a881a4
1218233b398b0
139a92719481
1450836c7ba4
152a9a9e93d9
hex18414de8c4

104174840004 has 144 divisors (see below), whose sum is σ = 259799254848. Its totient is φ = 32482492416.

The previous prime is 104174839981. The next prime is 104174840017. The reversal of 104174840004 is 400048471401.

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, 152525047 + ... + 152525729.

It is an arithmetic number, because the mean of its divisors is an integer number (1804161492).

Almost surely, 2104174840004 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 104174840004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129899627424).

104174840004 is an abundant number, since it is smaller than the sum of its proper divisors (155624414844).

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

104174840004 is a wasteful number, since it uses less digits than its factorization.

104174840004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 104174840004 in words is "one hundred four billion, one hundred seventy-four million, eight hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 257 274 361 411 514 548 683 722 771 822 1028 1083 1366 1444 1542 1644 2049 2166 2603 2732 3084 4098 4332 4883 5206 7809 8196 9766 10412 12977 14649 15618 19532 25954 29298 31236 35209 38931 49457 51908 58596 70418 77862 92777 93571 98914 105627 140836 148371 155724 175531 185554 187142 197828 211254 246563 278331 280713 296742 351062 371108 374284 422508 493126 526593 556662 561426 593484 668971 702124 739689 986252 1053186 1113324 1122852 1337942 1479378 1777849 2006913 2106372 2675884 2958756 3335089 3555698 4013826 5333547 6670178 7111396 8027652 10005267 10667094 12710449 13340356 20010534 21334188 24047747 25420898 33779131 38131347 40021068 48095494 50841796 63366691 67558262 72143241 76262694 96190988 101337393 126733382 135116524 144286482 152525388 190100073 202674786 253466764 288572964 380200146 405349572 456907193 760400292 913814386 1370721579 1827628772 2741443158 5482886316 8681236667 17362473334 26043710001 34724946668 52087420002 104174840004