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38930442811308 = 22321729181407567
BaseRepresentation
bin10001101101000001100110…
…01101101111011110101100
312002211201021111101021212200
420312200303031233132230
520100314021324430213
6214444222025501500
711125426443664056
oct1066406315573654
9162751244337780
1038930442811308
111144a343063874
124448b92641890
131895181835209
1498835a1a68d6
15477a0bbb3273
hex23683336f7ac

38930442811308 has 108 divisors (see below), whose sum is σ = 104548338297312. Its totient is φ = 12212111992320.

The previous prime is 38930442811241. The next prime is 38930442811313. The reversal of 38930442811308 is 80311824403983.

It is a happy number.

38930442811308 is a `hidden beast` number, since 3 + 8 + 9 + 304 + 4 + 28 + 1 + 1 + 308 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95315341 + ... + 95722907.

Almost surely, 238930442811308 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 38930442811308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52274169148656).

38930442811308 is an abundant number, since it is smaller than the sum of its proper divisors (65617895486004).

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

38930442811308 is a wasteful number, since it uses less digits than its factorization.

38930442811308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416792 (or 416770 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 38930442811308 in words is "thirty-eight trillion, nine hundred thirty billion, four hundred forty-two million, eight hundred eleven thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 9181 10404 18362 27543 36724 55086 82629 110172 156077 165258 312154 330516 407567 468231 624308 815134 936462 1222701 1404693 1630268 1872924 2445402 2653309 2809386 3668103 4890804 5306618 5618772 6928639 7336206 7959927 10613236 13857278 14672412 15919854 20785917 23879781 27714556 31839708 41571834 47759562 62357751 83143668 95519124 117786863 124715502 235573726 249431004 353360589 471147452 706721178 1060081767 1413442356 2120163534 3741872627 4240327068 7483745254 11225617881 14967490508 22451235762 33676853643 44902471524 63611834659 67353707286 127223669318 134707414572 190835503977 254447338636 381671007954 572506511931 763342015908 1081401189203 1145013023862 2162802378406 2290026047724 3244203567609 4325604756812 6488407135218 9732610702827 12976814270436 19465221405654 38930442811308