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3136046364 = 22321189101881
BaseRepresentation
bin1011101011101100…
…0100010100011100
322002120000122212100
42322323010110130
522410311440424
61235104205100
7140466645213
oct27273042434
98076018770
103136046364
11136a242060
12736309790
133ac939149
1421a6dc07a
151354b8dc9
hexbaec451c

3136046364 has 144 divisors (see below), whose sum is σ = 8841661920. Its totient is φ = 929280000.

The previous prime is 3136046351. The next prime is 3136046383. The reversal of 3136046364 is 4636406313.

3136046364 is a `hidden beast` number, since 3 + 13 + 6 + 0 + 4 + 636 + 4 = 666.

3136046364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 3559204 + ... + 3560084.

It is an arithmetic number, because the mean of its divisors is an integer number (61400430).

Almost surely, 23136046364 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 3136046364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420830960).

3136046364 is an abundant number, since it is smaller than the sum of its proper divisors (5705615556).

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

3136046364 is a wasteful number, since it uses less digits than its factorization.

3136046364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3136046364 is about 56000.4139627557. The cubic root of 3136046364 is about 1463.7294974111.

The spelling of 3136046364 in words is "three billion, one hundred thirty-six million, forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 101 132 178 198 202 267 303 356 396 404 534 606 801 881 909 979 1068 1111 1212 1602 1762 1818 1958 2222 2643 2937 3204 3333 3524 3636 3916 4444 5286 5874 6666 7929 8811 8989 9691 9999 10572 11748 13332 15858 17622 17978 19382 19998 26967 29073 31716 35244 35956 38764 39996 53934 58146 78409 80901 87219 88981 98879 107868 116292 156818 161802 174438 177962 197758 235227 266943 296637 313636 323604 348876 355924 395516 470454 533886 593274 705681 800829 862499 889911 940908 978791 1067772 1186548 1411362 1601658 1724998 1779822 1957582 2587497 2822724 2936373 3203316 3449996 3559644 3915164 5174994 5872746 7762491 7919309 8809119 10349988 11745492 15524982 15838618 17618238 23757927 31049964 31677236 35236476 47515854 71273781 87112399 95031708 142547562 174224798 261337197 285095124 348449596 522674394 784011591 1045348788 1568023182 3136046364