Search a number
-
+
36290120654420 = 2253229647386813
BaseRepresentation
bin10000100000001011100111…
…10000000001111001010100
311202111022010220102120202022
420100011303300001321110
514224034131341420140
6205103241250432312
710433606006646203
oct1020056360017124
9152438126376668
1036290120654420
1110621610034196
1240a1327b92698
1317331b3906219
148d66461a523a
1542dec8e470b5
hex210173c01e54

36290120654420 has 48 divisors (see below), whose sum is σ = 76245510191760. Its totient is φ = 14509143745536.

The previous prime is 36290120654387. The next prime is 36290120654449. The reversal of 36290120654420 is 2445602109263.

It can be written as a sum of positive squares in 8 ways, for example, as 1949184561424 + 34340936092996 = 1396132^2 + 5860114^2 .

It is a super-2 number, since 2×362901206544202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417982934 + ... + 418069746.

It is an arithmetic number, because the mean of its divisors is an integer number (1588448128995).

Almost surely, 236290120654420 is an apocalyptic number.

It is an amenable number.

36290120654420 is an abundant number, since it is smaller than the sum of its proper divisors (39955389537340).

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

36290120654420 is a wasteful number, since it uses less digits than its factorization.

36290120654420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96524 (or 96522 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 36290120654420 in words is "thirty-six trillion, two hundred ninety billion, one hundred twenty million, six hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 3229 6458 6473 12916 12946 16145 25892 32290 32365 64580 64730 86813 129460 173626 347252 434065 868130 1736260 20901317 41802634 83605268 104506585 209013170 280319177 418026340 560638354 561940549 1121276708 1123881098 1401595885 2247762196 2803191770 2809702745 5606383540 5619405490 11238810980 1814506032721 3629012065442 7258024130884 9072530163605 18145060327210 36290120654420