Search a number
-
+
515400332213345 = 51723789254888113
BaseRepresentation
bin111010100110000001111110…
…1101101111111110001100001
32111120212210100022121120200212
41311030003331231333301201
51020023304340021311340
65024055351032023505
7213363305462052365
oct16514037555776141
92446783308546625
10515400332213345
1113a24a065091527
1249980054531b95
1319178072cbab37
14913b71b2912a5
153e8bb2abcea65
hex1d4c0fdb7fc61

515400332213345 has 16 divisors (see below), whose sum is σ = 654889129062480. Its totient is φ = 388049818128384.

The previous prime is 515400332213191. The next prime is 515400332213357. The reversal of 515400332213345 is 543312233004515.

It can be written as a sum of positive squares in 8 ways, for example, as 1041836655616 + 514358495557729 = 1020704^2 + 22679473^2 .

It is a cyclic number.

It is not a de Polignac number, because 515400332213345 - 28 = 515400332213089 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125421992 + ... + 129466121.

It is an arithmetic number, because the mean of its divisors is an integer number (40930570566405).

Almost surely, 2515400332213345 is an apocalyptic number.

It is an amenable number.

515400332213345 is a deficient number, since it is larger than the sum of its proper divisors (139488796849135).

515400332213345 is a wasteful number, since it uses less digits than its factorization.

515400332213345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254911924.

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 515400332213345 in words is "five hundred fifteen trillion, four hundred billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred forty-five".

Divisors: 1 5 17 85 23789 118945 404413 2022065 254888113 1274440565 4333097921 21665489605 6063533320157 30317666600785 103080066442669 515400332213345