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38756383508040 = 23351175583388459
BaseRepresentation
bin10001100111111101011000…
…11110001100011001001000
312002020002000000002112111220
420303332230132030121020
520034441033134224130
6214232234202522040
711110025212216362
oct1063765436143110
9162202000075456
1038756383508040
1111392543128010
12441b2b6506320
1318819328c4943
1497db6737dd32
15473220ccb410
hex233fac78c648

38756383508040 has 128 divisors (see below), whose sum is σ = 126841077964800. Its totient is φ = 9395338417920.

The previous prime is 38756383507991. The next prime is 38756383508057. The reversal of 38756383508040 is 4080538365783.

38756383508040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99575331 + ... + 99963789.

It is an arithmetic number, because the mean of its divisors is an integer number (990945921600).

Almost surely, 238756383508040 is an apocalyptic number.

38756383508040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38756383508040 is an abundant number, since it is smaller than the sum of its proper divisors (88084694456760).

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

38756383508040 is a wasteful number, since it uses less digits than its factorization.

38756383508040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464067 (or 464063 counting only the distinct ones).

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

The spelling of 38756383508040 in words is "thirty-eight trillion, seven hundred fifty-six billion, three hundred eighty-three million, five hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 75583 151166 226749 302332 377915 388459 453498 604664 755830 776918 831413 906996 1133745 1165377 1511660 1553836 1662826 1813992 1942295 2267490 2330754 2494239 3023320 3107672 3325652 3884590 4157065 4273049 4534980 4661508 4988478 5826885 6651304 7769180 8314130 8546098 9069960 9323016 9976956 11653770 12471195 12819147 15538360 16628260 17092196 19953912 21365245 23307540 24942390 25638294 33256520 34184392 42730490 46615080 49884780 51276588 64095735 85460980 99769560 102553176 128191470 170921960 256382940 512765880 29360896597 58721793194 88082689791 117443586388 146804482985 176165379582 234887172776 293608965970 322969862567 352330759164 440413448955 587217931940 645939725134 704661518328 880826897910 968909587701 1174435863880 1291879450268 1614849312835 1761653795820 1937819175402 2583758900536 3229698625670 3523307591640 3875638350804 4844547938505 6459397251340 7751276701608 9689095877010 12918794502680 19378191754020 38756383508040