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36208000656 = 243210121572
BaseRepresentation
bin100001101110001010…
…100011111010010000
310110110101202000022100
4201232022203322100
51043123222010111
624344515040400
72421160633062
oct415612437220
9113411660270
1036208000656
11143a0521893
127025ba0100
133550589979
141a76b1d732
15e1db4b756
hex86e2a3e90

36208000656 has 135 divisors (see below), whose sum is σ = 103001367963. Its totient is φ = 11873721600.

The previous prime is 36208000643. The next prime is 36208000667. The reversal of 36208000656 is 65600080263.

The square root of 36208000656 is 190284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4802490000 + 31405510656 = 69300^2 + 177216^2 .

It is a super-2 number, since 2×362080006562 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36208000656.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230624130 + ... + 230624286.

Almost surely, 236208000656 is an apocalyptic number.

36208000656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36208000656 is the 190284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36208000656

36208000656 is an abundant number, since it is smaller than the sum of its proper divisors (66793367307).

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

36208000656 is a wasteful number, since it uses less digits than its factorization.

36208000656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 36208000656 by its sum of digits (36), we get a square (1303488023616 = 11417042).

36208000656 divided by its sum of digits (36) gives a square (1005777796 = 317142).

The spelling of 36208000656 in words is "thirty-six billion, two hundred eight million, six hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 157 202 303 314 404 471 606 628 808 909 942 1212 1256 1413 1616 1818 1884 2424 2512 2826 3636 3768 4848 5652 7272 7536 10201 11304 14544 15857 20402 22608 24649 30603 31714 40804 47571 49298 61206 63428 73947 81608 91809 95142 98596 122412 126856 142713 147894 163216 183618 190284 197192 221841 244824 253712 285426 295788 367236 380568 394384 443682 489648 570852 591576 734472 761136 887364 1141704 1183152 1468944 1601557 1774728 2283408 2489549 3203114 3549456 4804671 4979098 6406228 7468647 9609342 9958196 12812456 14414013 14937294 19218684 19916392 22405941 25624912 28828026 29874588 38437368 39832784 44811882 57656052 59749176 76874736 89623764 115312104 119498352 179247528 230624208 251444449 358495056 502888898 754333347 1005777796 1508666694 2011555592 2263000041 3017333388 4023111184 4526000082 6034666776 9052000164 12069333552 18104000328 36208000656