Search a number
-
+
36284233084240 = 2452571764797329
BaseRepresentation
bin10000100000000000101001…
…10100101110110101010000
311202110201221120221000210111
420100000110310232311100
514223440102132143430
6205100425131411104
710433310056302441
oct1020002464566520
9152421846830714
1036284233084240
111061a069714609
1240a01642b3a94
131732785c1379b
148d62482a12c8
1542dc8211bc2a
hex210014d2ed50

36284233084240 has 40 divisors (see below), whose sum is σ = 84689094272040. Its totient is φ = 14457219710976.

The previous prime is 36284233084237. The next prime is 36284233084259. The reversal of 36284233084240 is 4248033248263.

It can be written as a sum of positive squares in 4 ways, for example, as 2915310375184 + 33368922709056 = 1707428^2 + 5776584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×362842330842402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882378105 + ... + 882419224.

It is an arithmetic number, because the mean of its divisors is an integer number (2117227356801).

Almost surely, 236284233084240 is an apocalyptic number.

It is an amenable number.

36284233084240 is an abundant number, since it is smaller than the sum of its proper divisors (48404861187800).

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

36284233084240 is a wasteful number, since it uses less digits than its factorization.

36284233084240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764797599 (or 1764797593 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 49.

The spelling of 36284233084240 in words is "thirty-six trillion, two hundred eighty-four billion, two hundred thirty-three million, eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1285 2056 2570 4112 5140 10280 20560 1764797329 3529594658 7059189316 8823986645 14118378632 17647973290 28236757264 35295946580 70591893160 141183786320 453552913553 907105827106 1814211654212 2267764567765 3628423308424 4535529135530 7256846616848 9071058271060 18142116542120 36284233084240