Search a number
-
+
3867813389052 = 223223148716631889
BaseRepresentation
bin111000010010001011101…
…001001010001011111100
3111200202111120021002222200
4320102023221022023330
51001332240211422202
612120503212111500
7546304010232534
oct70221351121374
914622446232880
103867813389052
11126136a908358
12525736a65590
1322096bbcc892
14d52bb6c04c4
156a9261c1e1c
hex3848ba4a2fc

3867813389052 has 144 divisors (see below), whose sum is σ = 10220465848320. Its totient is φ = 1230993460224.

The previous prime is 3867813389051. The next prime is 3867813389053. The reversal of 3867813389052 is 2509833187683.

3867813389052 is a `hidden beast` number, since 38 + 67 + 81 + 338 + 90 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3867813389051) and next prime (3867813389053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867813389051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2047544524 + ... + 2047546412.

It is an arithmetic number, because the mean of its divisors is an integer number (70975457280).

Almost surely, 23867813389052 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 3867813389052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110232924160).

3867813389052 is an abundant number, since it is smaller than the sum of its proper divisors (6352652459268).

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

3867813389052 is a wasteful number, since it uses less digits than its factorization.

3867813389052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3867813389052 in words is "three trillion, eight hundred sixty-seven billion, eight hundred thirteen million, three hundred eighty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1487 1663 1889 2974 3326 3778 4461 4989 5667 5948 6652 7556 8922 9978 11334 13383 14967 17001 17844 19956 22668 26766 29934 34002 34201 38249 43447 53532 59868 68004 68402 76498 86894 102603 114747 130341 136804 152996 173788 205206 229494 260682 307809 344241 391023 410412 458988 521364 615618 688482 782046 1231236 1376964 1564092 2472881 2808943 3141407 4945762 5617886 6282814 7418643 8426829 9424221 9891524 11235772 12565628 14837286 16853658 18848442 22255929 25280487 28272663 29674572 33707316 37696884 44511858 50560974 56545326 56876263 64605689 72252361 89023716 101121948 113090652 113752526 129211378 144504722 170628789 193817067 216757083 227505052 258422756 289009444 341257578 387634134 433514166 511886367 581451201 650271249 682515156 775268268 867028332 1023772734 1162902402 1300542498 2047545468 2325804804 2601084996 4671272209 9342544418 14013816627 18685088836 28027633254 42041449881 56055266508 84082899762 107439260807 168165799524 214878521614 322317782421 429757043228 644635564842 966953347263 1289271129684 1933906694526 3867813389052