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36528383376 = 243453092
BaseRepresentation
bin100010000001010000…
…101110010110010000
310111021201121010210000
4202001100232112100
51044302231232001
624440402010000
72432131064352
oct420120562620
9114251533700
1036528383376
11145453580a1
1270b5346900
1335a1a73144
141aa74bb0d2
15e3bd34a86
hex88142e590

36528383376 has 75 divisors (see below), whose sum is σ = 105743657041. Its totient is φ = 12173834304.

The previous prime is 36528383323. The next prime is 36528383387. The reversal of 36528383376 is 67338382563.

The square root of 36528383376 is 191124.

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

36528383376 is a `hidden beast` number, since 3 + 6 + 528 + 3 + 83 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123743376 + 36404640000 = 11124^2 + 190800^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6877810 + ... + 6883118.

Almost surely, 236528383376 is an apocalyptic number.

36528383376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36528383376 is the 191124-th square number.

It is an amenable number.

36528383376 is an abundant number, since it is smaller than the sum of its proper divisors (69215273665).

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

36528383376 is an frugal number, since it uses more digits than its factorization.

36528383376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 5314 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

It can be divided in two parts, 36528 and 383376, that added together give a square (419904 = 6482).

The spelling of 36528383376 in words is "thirty-six billion, five hundred twenty-eight million, three hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 5309 10618 15927 21236 31854 42472 47781 63708 84944 95562 127416 143343 191124 254832 286686 382248 430029 573372 764496 860058 1146744 1720116 2293488 3440232 6880464 28185481 56370962 84556443 112741924 169112886 225483848 253669329 338225772 450967696 507338658 676451544 761007987 1014677316 1352903088 1522015974 2029354632 2283023961 3044031948 4058709264 4566047922 6088063896 9132095844 12176127792 18264191688 36528383376