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36893688640816 = 247595583185327
BaseRepresentation
bin10000110001101111110110…
…01101001011010100110000
311211122000001121002010102211
420120313323031023110300
514313431233243001231
6210244420535221504
710525323666123010
oct1030677315132460
9154560047063384
1036893688640816
111083458646a777
12417a2b1817894
1317780a1815187
14917942263c40
1543ea52150eb1
hex218dfb34b530

36893688640816 has 40 divisors (see below), whose sum is σ = 83077797680640. Its totient is φ = 15543587947584.

The previous prime is 36893688640801. The next prime is 36893688640829. The reversal of 36893688640816 is 61804688639863.

36893688640816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368936886408162 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2791586056 + ... + 2791599271.

It is an arithmetic number, because the mean of its divisors is an integer number (2076944942016).

Almost surely, 236893688640816 is an apocalyptic number.

It is an amenable number.

36893688640816 is an abundant number, since it is smaller than the sum of its proper divisors (46184109039824).

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

36893688640816 is a wasteful number, since it uses less digits than its factorization.

36893688640816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583185401 (or 5583185395 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 76.

The spelling of 36893688640816 in words is "thirty-six trillion, eight hundred ninety-three billion, six hundred eighty-eight million, six hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 5583185327 11166370654 22332741308 39082297289 44665482616 78164594578 89330965232 156329189156 312658378312 329407934293 625316756624 658815868586 1317631737172 2305855540051 2635263474344 4611711080102 5270526948688 9223422160204 18446844320408 36893688640816