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38678632552314 = 2337731249741883
BaseRepresentation
bin10001100101101100100100…
…01001110101011101111010
312001221122022101221202021000
420302312102021311131322
520032202314413133224
6214132415110025430
711101303400051226
oct1062662211653572
9161848271852230
1038678632552314
11113625747a9207
124408217948276
1318774c1703871
1497a0ad1ab786
154711beeb60c9
hex232d9227577a

38678632552314 has 64 divisors (see below), whose sum is σ = 86132732400000. Its totient is φ = 12865871955456.

The previous prime is 38678632552289. The next prime is 38678632552321. The reversal of 38678632552314 is 41325523687683.

38678632552314 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 8 + 63 + 2 + 552 + 3 + 14 = 666.

It is a super-2 number, since 2×386786325523142 (a number of 28 digits) contains 22 as substring.

It is a Curzon 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, 51764817 + ... + 52506699.

It is an arithmetic number, because the mean of its divisors is an integer number (1345823943750).

Almost surely, 238678632552314 is an apocalyptic number.

38678632552314 is an abundant number, since it is smaller than the sum of its proper divisors (47454099847686).

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

38678632552314 is a wasteful number, since it uses less digits than its factorization.

38678632552314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743916 (or 743910 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 38678632552314 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred thirty-two million, five hundred fifty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 773 1249 1546 2319 2498 3747 4638 6957 7494 11241 13914 20871 22482 33723 41742 67446 741883 965477 1483766 1930954 2225649 2896431 4451298 5792862 6676947 8689293 13353894 17378586 20030841 26067879 40061682 52135758 573475559 926611867 1146951118 1720426677 1853223734 2779835601 3440853354 5161280031 5559671202 8339506803 10322560062 15483840093 16679013606 25018520409 30967680186 50037040818 716270973191 1432541946382 2148812919573 4297625839146 6446438758719 12892877517438 19339316276157 38678632552314