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104760046006440 = 233511788310067699
BaseRepresentation
bin10111110100011101011001…
…010101000011000010101000
3111201220221222201122210200020
4113310131121111003002220
5102212342033234201230
61010450033432240440
731031443412462226
oct2764353125030250
9451827881583606
10104760046006440
113041a538977850
12b8bb247540120
13465baa3526226
141bc25b0083b16
15c1a0b1121810
hex5f47595430a8

104760046006440 has 128 divisors (see below), whose sum is σ = 342894586176000. Its totient is φ = 25393150603520.

The previous prime is 104760046006391. The next prime is 104760046006477. The reversal of 104760046006440 is 44600640067401.

It is a super-3 number, since 3×1047600460064403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104760046006392 and 104760046006401.

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, 5371711 + ... + 15439409.

It is an arithmetic number, because the mean of its divisors is an integer number (2678863954500).

Almost surely, 2104760046006440 is an apocalyptic number.

104760046006440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104760046006440 is an abundant number, since it is smaller than the sum of its proper divisors (238134540169560).

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

104760046006440 is a wasteful number, since it uses less digits than its factorization.

104760046006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075607 (or 10075603 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 104760046006440 in words is "one hundred four trillion, seven hundred sixty billion, forty-six million, six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7883 15766 23649 31532 39415 47298 63064 78830 86713 94596 118245 157660 173426 189192 236490 260139 315320 346852 433565 472980 520278 693704 867130 945960 1040556 1300695 1734260 2081112 2601390 3468520 5202780 10067699 10405560 20135398 30203097 40270796 50338495 60406194 80541592 100676990 110744689 120812388 151015485 201353980 221489378 241624776 302030970 332234067 402707960 442978756 553723445 604061940 664468134 885957512 1107446890 1208123880 1328936268 1661170335 2214893780 2657872536 3322340670 4429787560 6644681340 13289362680 79363671217 158727342434 238091013651 317454684868 396818356085 476182027302 634909369736 793636712170 873000383387 952364054604 1190455068255 1587273424340 1746000766774 1904728109208 2380910136510 2619001150161 3174546848680 3492001533548 4365001916935 4761820273020 5238002300322 6984003067096 8730003833870 9523640546040 10476004600644 13095005750805 17460007667740 20952009201288 26190011501610 34920015335480 52380023003220 104760046006440