Search a number
-
+
36528663808 = 287133742379
BaseRepresentation
bin100010000001010001…
…110010110100000000
310111021202010101110101
4202001101302310000
51044302314220213
624440412012144
72432133343060
oct420121626400
9114252111411
1036528663808
111454552985a
1270b5461054
1335a1b40990
141aa75513a0
15e3bd8cbdd
hex881472d00

36528663808 has 144 divisors (see below), whose sum is σ = 92168702080. Its totient is φ = 14060003328.

The previous prime is 36528663791. The next prime is 36528663823. The reversal of 36528663808 is 80836682563.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 840763 + ... + 883141.

Almost surely, 236528663808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36528663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46084351040).

36528663808 is an abundant number, since it is smaller than the sum of its proper divisors (55640038272).

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

36528663808 is a wasteful number, since it uses less digits than its factorization.

36528663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42452 (or 42438 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

It can be divided in two parts, 36528 and 663808, that added together give a triangular number (700336 = T1183).

The spelling of 36528663808 in words is "thirty-six billion, five hundred twenty-eight million, six hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 64 74 91 104 112 128 148 182 208 224 256 259 296 364 416 448 481 518 592 728 832 896 962 1036 1184 1456 1664 1792 1924 2072 2368 2912 3328 3367 3848 4144 4736 5824 6734 7696 8288 9472 11648 13468 15392 16576 23296 26936 30784 33152 42379 53872 61568 66304 84758 107744 123136 169516 215488 296653 339032 430976 550927 593306 678064 861952 1101854 1186612 1356128 1568023 2203708 2373224 2712256 3136046 3856489 4407416 4746448 5424512 6272092 7712978 8814832 9492896 10849024 10976161 12544184 15425956 17629664 18985792 20384299 21952322 25088368 30851912 35259328 37971584 40768598 43904644 50176736 61703824 70518656 75943168 81537196 87809288 100353472 123407648 141037312 142690093 163074392 175618576 200706944 246815296 285380186 326148784 351237152 401413888 493630592 570760372 652297568 702474304 987261184 1141520744 1304595136 1404948608 2283041488 2609190272 2809897216 4566082976 5218380544 9132165952 18264331904 36528663808