Search a number
-
+
64130651532135 = 3353138939393139
BaseRepresentation
bin11101001010011100101001…
…01101000010101101100111
322102001211102100222201121000
432211032110231002231213
531401204033243012020
6344221114204124343
716336200220563516
oct1645162455025547
9272054370881530
1064130651532135
11194857249a8611
127238b495366b3
1329a265751ac06
1411b9d238a067d
157632babbd090
hex3a5394b42b67

64130651532135 has 64 divisors (see below), whose sum is σ = 117990332928000. Its totient is φ = 33014601095040.

The previous prime is 64130651532067. The next prime is 64130651532193. The reversal of 64130651532135 is 53123515603146.

64130651532135 is a `hidden beast` number, since 6 + 4 + 1 + 30 + 6 + 51 + 532 + 1 + 35 = 666.

It is not a de Polignac number, because 64130651532135 - 211 = 64130651530087 is a prime.

It is a super-2 number, since 2×641306515321352 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18068605 + ... + 21324534.

It is an arithmetic number, because the mean of its divisors is an integer number (1843598952000).

Almost surely, 264130651532135 is an apocalyptic number.

64130651532135 is a deficient number, since it is larger than the sum of its proper divisors (53859681395865).

64130651532135 is a wasteful number, since it uses less digits than its factorization.

64130651532135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39393573 (or 39393567 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 64130651532135 in words is "sixty-four trillion, one hundred thirty billion, six hundred fifty-one million, five hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 389 465 837 1167 1395 1945 3501 4185 5835 10503 12059 17505 36177 52515 60295 108531 180885 325593 542655 1627965 39393139 118179417 196965695 354538251 590897085 1063614753 1221187309 1772691255 3663561927 5318073765 6105936545 10990685781 15323931071 18317809635 32972057343 45971793213 54953428905 76619655355 137915379639 164860286715 229858966065 413746138917 475041863201 689576898195 1425125589603 2068730694585 2375209316005 4275376768809 7125627948015 12826130306427 21376883844045 64130651532135