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38100213816 = 23372171905773
BaseRepresentation
bin100011011110111100…
…110010000000111000
310122100021021101210020
4203132330302000320
51111012123320231
625300351450440
72516105321400
oct433674620070
9118307241706
1038100213816
1115181639615
127473826a20
1337925c5122
141bb615b800
15eced1c396
hex8def32038

38100213816 has 96 divisors (see below), whose sum is σ = 117319447440. Its totient is φ = 10245430272.

The previous prime is 38100213803. The next prime is 38100213821. The reversal of 38100213816 is 61831200183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932895 + ... + 972878.

Almost surely, 238100213816 is an apocalyptic number.

It is an amenable number.

38100213816 is an abundant number, since it is smaller than the sum of its proper divisors (79219233624).

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

38100213816 is a wasteful number, since it uses less digits than its factorization.

38100213816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905813 (or 1905802 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 38100213816 its reverse (61831200183), we get a palindrome (99931413999).

The spelling of 38100213816 in words is "thirty-eight billion, one hundred million, two hundred thirteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 19992 1905773 3811546 5717319 7623092 11434638 13340411 15246184 22869276 26680822 32398141 40021233 45738552 53361644 64796282 80042466 93382877 97194423 106723288 129592564 160084932 186765754 194388846 226786987 259185128 280148631 320169864 373531508 388777692 453573974 560297262 680360961 747063016 777555384 907147948 1120594524 1360721922 1587508909 1814295896 2241189048 2721443844 3175017818 4762526727 5442887688 6350035636 9525053454 12700071272 19050106908 38100213816