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38814704421615 = 3351994116081231
BaseRepresentation
bin10001101001101010000001…
…01010110100101011101111
312002102122112111011220201000
420310311000222310223233
520041420003312442430
6214315121250251343
711114161362624363
oct1064650052645357
9162378474156630
1038814704421615
1111405250826641
12442a671b86b53
131887298518765
149828dac332a3
154749d5e0be60
hex234d40ab4aef

38814704421615 has 64 divisors (see below), whose sum is σ = 72712898611200. Its totient is φ = 19590797635200.

The previous prime is 38814704421607. The next prime is 38814704421631. The reversal of 38814704421615 is 51612440741883.

It is a happy number.

38814704421615 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 470 + 4 + 4 + 2 + 161 + 5 = 666.

38814704421615 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38814704421615 - 23 = 38814704421607 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5626951 + ... + 10454280.

It is an arithmetic number, because the mean of its divisors is an integer number (1136139040800).

Almost surely, 238814704421615 is an apocalyptic number.

38814704421615 is a deficient number, since it is larger than the sum of its proper divisors (33898194189585).

38814704421615 is a wasteful number, since it uses less digits than its factorization.

38814704421615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16082205 (or 16082199 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 38814704421615 in words is "thirty-eight trillion, eight hundred fourteen billion, seven hundred four million, four hundred twenty-one thousand, six hundred fifteen".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 941 2565 2823 4705 8469 14115 17879 25407 42345 53637 89395 127035 160911 268185 482733 804555 2413665 16081231 48243693 80406155 144731079 241218465 305543389 434193237 723655395 916630167 1527716945 2170966185 2749890501 4583150835 8249671503 13749452505 15132438371 41248357515 45397315113 75662191855 136191945339 226986575565 287516329049 408575836017 680959726695 862548987147 1437581645245 2042879180085 2587646961441 4312744935735 7762940884323 12938234807205 38814704421615