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27040136292 = 2232131914232137
BaseRepresentation
bin11001001011101101…
…111011110001100100
32120210110210020200100
4121023231323301210
5420334233330132
620231055544100
71645036236411
oct311355736144
976713706610
1027040136292
11105164a7684
1252a782b030
13271c0c4460
1414472cd108
15a83d6237c
hex64bb7bc64

27040136292 has 144 divisors (see below), whose sum is σ = 77574165760. Its totient is φ = 7872920064.

The previous prime is 27040136251. The next prime is 27040136309. The reversal of 27040136292 is 29263104072.

27040136292 is a `hidden beast` number, since 27 + 0 + 4 + 0 + 1 + 3 + 629 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12652248 + ... + 12654384.

Almost surely, 227040136292 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 27040136292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787082880).

27040136292 is an abundant number, since it is smaller than the sum of its proper divisors (50534029468).

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

27040136292 is a wasteful number, since it uses less digits than its factorization.

27040136292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27040136292 in words is "twenty-seven billion, forty million, one hundred thirty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1423 1482 2137 2223 2846 2964 4269 4274 4446 5692 6411 8538 8548 8892 12807 12822 17076 18499 19233 25614 25644 27037 27781 36998 38466 40603 51228 54074 55497 55562 73996 76932 81111 81206 83343 108148 110994 111124 121809 162222 162412 166491 166686 221988 243333 243618 250029 324444 332982 333372 351481 365427 486666 487236 500058 527839 665964 702962 730854 973332 1000116 1054443 1055678 1405924 1461708 1583517 2108886 2111356 3040951 3163329 3167034 4217772 4750551 6081902 6326658 6334068 9122853 9501102 12163804 12653316 18245706 19002204 27368559 36491412 39532363 54737118 57778069 79064726 109474236 115556138 118597089 158129452 173334207 231112276 237194178 346668414 355791267 474388356 520002621 693336828 711582534 751114897 1040005242 1423165068 1502229794 2080010484 2253344691 3004459588 4506689382 6760034073 9013378764 13520068146 27040136292