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27006324112376 = 23717131234192503
BaseRepresentation
bin1100010001111111001100…
…10110101111101111111000
310112121210001011100200022022
412020333212112233233320
512014432422433044001
6133234311203214012
75455066613244410
oct610774626575770
9115553034320268
1027006324112376
1186723549a9634
12304200b377308
13120b8bab9909b
14695182351640
1531c76a89111b
hex188fe65afbf8

27006324112376 has 128 divisors (see below), whose sum is σ = 61769642204160. Its totient is φ = 10805417625600.

The previous prime is 27006324112363. The next prime is 27006324112421. The reversal of 27006324112376 is 67321142360072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291904541 + ... + 291997043.

It is an arithmetic number, because the mean of its divisors is an integer number (482575329720).

Almost surely, 227006324112376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27006324112376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30884821102080).

27006324112376 is an abundant number, since it is smaller than the sum of its proper divisors (34763318091784).

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

27006324112376 is a wasteful number, since it uses less digits than its factorization.

27006324112376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95005 (or 95001 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 27006324112376 in words is "twenty-seven trillion, six billion, three hundred twenty-four million, one hundred twelve thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 131 136 238 262 476 524 917 952 1048 1834 2227 2341 3668 4454 4682 7336 8908 9364 15589 16387 17816 18728 31178 32774 39797 62356 65548 79594 92503 124712 131096 159188 185006 278579 306671 318376 370012 557158 613342 647521 740024 1114316 1226684 1295042 1572551 2146697 2228632 2453368 2590084 3145102 4293394 5180168 5213407 6290204 8586788 10426814 11007857 12117893 12580408 17173576 20853628 22015714 24235786 36493849 41707256 44031428 48471572 72987698 84825251 88062856 96943144 145975396 169650502 206004181 216549523 291950792 339301004 412008362 433099046 678602008 824016724 866198092 1442029267 1515846661 1648033448 1732396184 2884058534 3031693322 3681341891 5768117068 6063386644 7362683782 11536234136 12126773288 14725367564 25769393237 28367987513 29450735128 51538786474 56735975026 103077572948 113471950052 198575912591 206155145896 226943900104 397151825182 482255787721 794303650364 964511575442 1588607300728 1929023150884 3375790514047 3858046301768 6751581028094 13503162056188 27006324112376