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36742755856 = 2417322772
BaseRepresentation
bin100010001110000010…
…011111011000010000
310111211122222101112111
4202032002133120100
51100222121141411
624513540435104
72440343162122
oct421602373020
9114748871474
1036742755856
1114645367334
1271550a8a94
1336072c0271
141ac7b61212
15e50a7c721
hex88e09f610

36742755856 has 45 divisors (see below), whose sum is σ = 71862393351. Its totient is φ = 18199245696.

The previous prime is 36742755851. The next prime is 36742755869. The reversal of 36742755856 is 65855724763.

It is a happy number.

The square root of 36742755856 is 191684.

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 551498256 + 36191257600 = 23484^2 + 190240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36742755856.

It is not an unprimeable number, because it can be changed into a prime (36742755851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132645190 + ... + 132645466.

Almost surely, 236742755856 is an apocalyptic number.

36742755856 is the 191684-th square number.

It is an amenable number.

36742755856 is a deficient number, since it is larger than the sum of its proper divisors (35119637495).

36742755856 is an frugal number, since it uses more digits than its factorization.

36742755856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 452 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 58.

The spelling of 36742755856 in words is "thirty-six billion, seven hundred forty-two million, seven hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 173 277 346 554 692 1108 1384 2216 2768 4432 29929 47921 59858 76729 95842 119716 153458 191684 239432 306916 383368 478864 613832 766736 1227664 8290333 13274117 16580666 26548234 33161332 53096468 66322664 106192936 132645328 212385872 2296422241 4592844482 9185688964 18371377928 36742755856