Search a number
-
+
104011013570760 = 23335206946547363
BaseRepresentation
bin10111101001100011110011…
…100001000100000011001000
3111122021100121100222121001000
4113221203303201010003020
5102113104023433231020
61005113555555455000
730623355610022202
oct2751436341040310
9448240540877030
10104011013570760
113016090666553a
12b7ba045bb7460
13460627290ac4a
141b98234b55772
15c058725ea090
hex5e98f38440c8

104011013570760 has 128 divisors (see below), whose sum is σ = 346870956528000. Its totient is φ = 27722864049408.

The previous prime is 104011013570707. The next prime is 104011013570879. The reversal of 104011013570760 is 67075310110401.

It is a happy number.

104011013570760 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 1 + 0 + 13 + 570 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21039162 + ... + 25508201.

It is an arithmetic number, because the mean of its divisors is an integer number (2709929347875).

Almost surely, 2104011013570760 is an apocalyptic number.

104011013570760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104011013570760 is an abundant number, since it is smaller than the sum of its proper divisors (242859942957240).

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

104011013570760 is a wasteful number, since it uses less digits than its factorization.

104011013570760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46549452 (or 46549442 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 104011013570760 in words is "one hundred four trillion, eleven billion, thirteen million, five hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2069 4138 6207 8276 10345 12414 16552 18621 20690 24828 31035 37242 41380 49656 55863 62070 74484 82760 93105 111726 124140 148968 186210 223452 248280 279315 372420 446904 558630 744840 1117260 2234520 46547363 93094726 139642089 186189452 232736815 279284178 372378904 418926267 465473630 558568356 698210445 837852534 930947260 1117136712 1256778801 1396420890 1675705068 1861894520 2094631335 2513557602 2792841780 3351410136 4189262670 5027115204 5585683560 6283894005 8378525340 10054230408 12567788010 16757050680 25135576020 50271152040 96306494047 192612988094 288919482141 385225976188 481532470235 577838964282 770451952376 866758446423 963064940470 1155677928564 1444597410705 1733516892846 1926129880940 2311355857128 2600275339269 2889194821410 3467033785692 3852259761880 4333792232115 5200550678538 5778389642820 6934067571384 8667584464230 10401101357076 11556779285640 13001376696345 17335168928460 20802202714152 26002753392690 34670337856920 52005506785380 104011013570760