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8381355033204 = 223219179449152461
BaseRepresentation
bin111100111110110111110…
…1100001000001001110100
31002200020202001011022201100
41321331233230020021310
52044310003342030304
625454201421530100
71523350535213406
oct171755754101164
932606661138640
108381355033204
11274157046206a
12b34442a13930
1348a4874c0b6a
1420d9344c4b76
15e8041a54439
hex79f6fb08274

8381355033204 has 144 divisors (see below), whose sum is σ = 22475948040000. Its totient is φ = 2626078371840.

The previous prime is 8381355033199. The next prime is 8381355033221. The reversal of 8381355033204 is 4023305531838.

8381355033204 is a `hidden beast` number, since 8 + 3 + 8 + 135 + 503 + 3 + 2 + 0 + 4 = 666.

It is a super-4 number, since 4×83813550332044 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8381355033204.

It is a congruent number.

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, 54897534 + ... + 55049994.

It is an arithmetic number, because the mean of its divisors is an integer number (156082972500).

Almost surely, 28381355033204 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 8381355033204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237974020000).

8381355033204 is an abundant number, since it is smaller than the sum of its proper divisors (14094593006796).

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

8381355033204 is a wasteful number, since it uses less digits than its factorization.

8381355033204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153118 (or 153113 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 8381355033204 its sum of digits (45), we get a square (8381355033249 = 28950572).

The spelling of 8381355033204 in words is "eight trillion, three hundred eighty-one billion, three hundred fifty-five million, thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 179 228 342 358 449 537 684 716 898 1074 1347 1611 1796 2148 2694 3222 3401 4041 5388 6444 6802 8082 8531 10203 13604 16164 17062 20406 25593 30609 34124 40812 51186 61218 76779 80371 102372 122436 152461 153558 160742 241113 304922 307116 321484 457383 482226 609844 723339 914766 964452 1372149 1446678 1527049 1829532 2744298 2893356 2896759 3054098 4581147 5488596 5793518 6108196 8690277 9162294 11587036 13743441 17380554 18324588 26070831 27290519 27486882 34761108 52141662 54581038 54973764 68454989 81871557 104283324 109162076 136909978 163743114 205364967 245614671 273819956 327486228 410729934 491229342 518519861 616094901 821459868 982458684 1037039722 1232189802 1300644791 1555559583 2074079444 2464379604 2601289582 3111119166 3901934373 4666678749 5202579164 6222238332 7803868746 9333357498 11705803119 12253443031 15607737492 18666714996 23411606238 24506886062 36760329093 46823212476 49013772124 73520658186 110280987279 147041316372 220561974558 232815417589 441123949116 465630835178 698446252767 931261670356 1396892505534 2095338758301 2793785011068 4190677516602 8381355033204