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38387525811306 = 23724114407263239
BaseRepresentation
bin10001011101001110010101…
…10101101111110001101010
312000220210220200021002101120
420232213022311233301222
520012420123101430211
6213350552542200110
711041256450430420
oct1056471265576152
9160823820232346
1038387525811306
1111260070618031
12437b914883036
131855c0b1c13a9
14969d75217110
1546883344bd06
hex22e9cad6fc6a

38387525811306 has 64 divisors (see below), whose sum is σ = 88113444925440. Its totient is φ = 10921555088640.

The previous prime is 38387525811269. The next prime is 38387525811307. The reversal of 38387525811306 is 60311852578383.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38387525811306.

It is not an unprimeable number, because it can be changed into a prime (38387525811307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145696035 + ... + 145959273.

It is an arithmetic number, because the mean of its divisors is an integer number (1376772576960).

Almost surely, 238387525811306 is an apocalyptic number.

38387525811306 is an abundant number, since it is smaller than the sum of its proper divisors (49725919114134).

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

38387525811306 is a wasteful number, since it uses less digits than its factorization.

38387525811306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277899.

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 38387525811306 in words is "thirty-eight trillion, three hundred eighty-seven billion, five hundred twenty-five million, eight hundred eleven thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 241 482 723 1446 1687 3374 5061 10122 14407 28814 43221 86442 100849 201698 263239 302547 526478 605094 789717 1579434 1842673 3472087 3685346 5528019 6944174 10416261 11056038 20832522 24304609 48609218 63440599 72913827 126881198 145827654 190321797 380643594 444084193 888168386 1332252579 2664505158 3792484273 7584968546 11377452819 22754905638 26547389911 53094779822 79642169733 159284339466 913988709793 1827977419586 2741966129379 5483932258758 6397920968551 12795841937102 19193762905653 38387525811306