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38678403552216 = 23337101631683447
BaseRepresentation
bin10001100101101100001001…
…00000010001001111011000
312001221121201110001100011220
420302312010200101033120
520032201332302132331
6214132340245452040
711101264616431401
oct1062660440211730
9161847643040156
1038678403552216
111136246750902a
124408173111020
13187748613474c
1497a08a9da9a8
154711a9d2e296
hex232d848113d8

38678403552216 has 128 divisors (see below), whose sum is σ = 100451765468160. Its totient is φ = 12400444224000.

The previous prime is 38678403552209. The next prime is 38678403552221. The reversal of 38678403552216 is 61225530487683.

It is a self number, because there is not a number n which added to its sum of digits gives 38678403552216.

It is a congruent number.

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, 56251405 + ... + 56934851.

It is an arithmetic number, because the mean of its divisors is an integer number (784779417720).

Almost surely, 238678403552216 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 38678403552216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50225882734080).

38678403552216 is an abundant number, since it is smaller than the sum of its proper divisors (61773361915944).

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

38678403552216 is a wasteful number, since it uses less digits than its factorization.

38678403552216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684225 (or 684221 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 38678403552216 in words is "thirty-eight trillion, six hundred seventy-eight billion, four hundred three million, five hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 296 303 404 444 606 631 808 888 1212 1262 1893 2424 2524 3737 3786 5048 7474 7572 11211 14948 15144 22422 23347 29896 44844 46694 63731 70041 89688 93388 127462 140082 186776 191193 254924 280164 382386 509848 560328 683447 764772 1366894 1529544 2050341 2358047 2733788 4100682 4716094 5467576 7074141 8201364 9432188 14148282 16402728 18864376 25287539 28296564 50575078 56593128 69028147 75862617 101150156 138056294 151725234 202300312 207084441 276112588 303450468 414168882 431255057 552225176 606900936 828337764 862510114 1293765171 1656675528 1725020228 2554041439 2587530342 3450040456 5108082878 5175060684 7662124317 10216165756 10350121368 15324248634 15956437109 20432331512 30648497268 31912874218 43556760757 47869311327 61296994536 63825748436 87113521514 95738622654 127651496872 130670282271 174227043028 191477245308 261340564542 348454086056 382954490616 522681129084 1045362258168 1611600148009 3223200296018 4834800444027 6446400592036 9669600888054 12892801184072 19339201776108 38678403552216