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34445002536 = 2332768343259
BaseRepresentation
bin100000000101000101…
…010000011100101000
310021220112100102112200
4200011011100130220
51031020410040121
623453535540200
72326402455630
oct400505203450
9107815312480
1034445002536
111367634024a
12681368a660
13332c253909
14194a9196c0
15d68ea1a26
hex805150728

34445002536 has 48 divisors (see below), whose sum is σ = 106615485600. Its totient is φ = 9841429152.

The previous prime is 34445002519. The next prime is 34445002621. The reversal of 34445002536 is 63520054443.

34445002536 is a `hidden beast` number, since 34 + 44 + 50 + 0 + 2 + 536 = 666.

It is a super-3 number, since 3×344450025363 (a number of 33 digits) contains 333 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 34445002536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34171126 + ... + 34172133.

It is an arithmetic number, because the mean of its divisors is an integer number (2221155950).

Almost surely, 234445002536 is an apocalyptic number.

34445002536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34445002536 is an abundant number, since it is smaller than the sum of its proper divisors (72170483064).

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

34445002536 is a wasteful number, since it uses less digits than its factorization.

34445002536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68343278 (or 68343271 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 34445002536 its reverse (63520054443), we get a palindrome (97965056979).

The spelling of 34445002536 in words is "thirty-four billion, four hundred forty-five million, two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 68343259 136686518 205029777 273373036 410059554 478402813 546746072 615089331 820119108 956805626 1230178662 1435208439 1640238216 1913611252 2460357324 2870416878 3827222504 4305625317 4920714648 5740833756 8611250634 11481667512 17222501268 34445002536