Search a number
-
+
36631025255449 = 17273248772
BaseRepresentation
bin10000101010000110100110…
…01111111000010000011001
311210200220002010120122022201
420111003103033320100121
514300130314431133244
6205524021035250201
710500334645153252
oct1025032317702031
9153626063518281
1036631025255449
1110743148873689
1241374082a9961
1317593a2032061
14908d45aabb29
15437ccc727ad4
hex2150d33f8419

36631025255449 has 27 divisors (see below), whose sum is σ = 39460984201047. Its totient is φ = 33997009227264.

The previous prime is 36631025255441. The next prime is 36631025255453. The reversal of 36631025255449 is 94455252013663.

The square root of 36631025255449 is 6052357.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 13546190665225 + 23084834590224 = 3680515^2 + 4804668^2 .

It is not a de Polignac number, because 36631025255449 - 23 = 36631025255441 is a prime.

It is a super-4 number, since 4×366310252554494 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 36631025255449.

It is not an unprimeable number, because it can be changed into a prime (36631025255441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7510972599 + ... + 7510977475.

Almost surely, 236631025255449 is an apocalyptic number.

36631025255449 is the 6052357-th square number.

36631025255449 is the 3026179-th centered octagonal number.

It is an amenable number.

36631025255449 is a deficient number, since it is larger than the sum of its proper divisors (2829958945598).

36631025255449 is an frugal number, since it uses more digits than its factorization.

36631025255449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 55.

The spelling of 36631025255449 in words is "thirty-six trillion, six hundred thirty-one billion, twenty-five million, two hundred fifty-five thousand, four hundred forty-nine".

Divisors: 1 17 73 289 1241 4877 5329 21097 82909 90593 356021 1409453 1540081 6052357 23785129 25989533 102890069 404347193 441822061 1736314417 6873902281 7510975037 29517345089 126750952441 501794866513 2154766191497 36631025255449