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27385079238 = 23411172813217
BaseRepresentation
bin11001100000010001…
…110010010111000110
32121200111212011110000
4121200101302113012
5422041040013423
620325221142130
71656425222106
oct314021622706
977614764400
1027385079238
11106831883a0
12538325a946
1327756c98ca
14147b041206
15aa429c843
hex6604725c6

27385079238 has 160 divisors (see below), whose sum is σ = 71153378208. Its totient is φ = 7780147200.

The previous prime is 27385079219. The next prime is 27385079273. The reversal of 27385079238 is 83297058372.

27385079238 is a `hidden beast` number, since 27 + 385 + 0 + 7 + 9 + 238 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8511006 + ... + 8514222.

Almost surely, 227385079238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27385079238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35576689104).

27385079238 is an abundant number, since it is smaller than the sum of its proper divisors (43768298970).

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

27385079238 is a wasteful number, since it uses less digits than its factorization.

27385079238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27385079238 in words is "twenty-seven billion, three hundred eighty-five million, seventy-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 281 297 306 374 459 561 562 594 843 891 918 1122 1377 1683 1686 1782 2529 2754 3091 3217 3366 4777 5049 5058 6182 6434 7587 9273 9554 9651 10098 14331 15147 15174 18546 19302 22761 27819 28662 28953 30294 35387 42993 45522 52547 54689 55638 57906 70774 83457 85986 86859 105094 106161 109378 128979 157641 164067 166914 173718 212322 250371 257958 260577 315282 318483 328134 386937 472923 492201 500742 521154 601579 636966 773874 903977 945846 955449 984402 1203158 1418769 1476603 1804737 1807954 1910898 2711931 2837538 2866347 2953206 3609474 4256307 4429809 5414211 5423862 5732694 8135793 8512614 8859618 9943747 10828422 15367609 16242633 16271586 19887494 24407379 29831241 30735218 32485266 46102827 48727899 48814758 59662482 73222137 89493723 92205654 97455798 138308481 146444274 169043699 178987446 268481169 276616962 338087398 414925443 507131097 536962338 805443507 829850886 1014262194 1244776329 1521393291 1610887014 2489552658 3042786582 4564179873 9128359746 13692539619 27385079238