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27013414304232 = 23325319336678689
BaseRepresentation
bin1100010010001100011001…
…11101101011100111101000
310112122110100021210202001200
412021012030331223213220
512020041433030213412
6133241442522444200
75455440406005606
oct611061475534750
9115573307722050
1027013414304232
118675363155724
123043469963660
13120c47aa90395
14695655c68876
1531ca330739dc
hex18918cf6b9e8

27013414304232 has 96 divisors (see below), whose sum is σ = 74927961505800. Its totient is φ = 8788800503808.

The previous prime is 27013414304183. The next prime is 27013414304249. The reversal of 27013414304232 is 23240341431072.

27013414304232 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 3 + 414 + 3 + 0 + 4 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25377353308836 + 1636060995396 = 5037594^2 + 1279086^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 17602857 + ... + 19075832.

Almost surely, 227013414304232 is an apocalyptic number.

It is an amenable number.

27013414304232 is an abundant number, since it is smaller than the sum of its proper divisors (47914547201568).

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

27013414304232 is a wasteful number, since it uses less digits than its factorization.

27013414304232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36678947 (or 36678940 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 27013414304232 in words is "twenty-seven trillion, thirteen billion, four hundred fourteen million, three hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 193 212 318 386 424 477 579 636 772 954 1158 1272 1544 1737 1908 2316 3474 3816 4632 6948 10229 13896 20458 30687 40916 61374 81832 92061 122748 184122 245496 368244 736488 36678689 73357378 110036067 146714756 220072134 293429512 330108201 440144268 660216402 880288536 1320432804 1943970517 2640865608 3887941034 5831911551 7078986977 7775882068 11663823102 14157973954 15551764136 17495734653 21236960931 23327646204 28315947908 34991469306 42473921862 46655292408 56631895816 63710882793 69982938612 84947843724 127421765586 139965877224 169895687448 254843531172 375186309781 509687062344 750372619562 1125558929343 1500745239124 2251117858686 3001490478248 3376676788029 4502235717372 6753353576058 9004471434744 13506707152116 27013414304232