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663663013432431 = 3172312743911014571
BaseRepresentation
bin1001011011100110010001011…
…0001010101000110001101111
310020000211120020111022001112120
42112321210112022220301233
51143441423322414314211
610311254325053204023
7256535033103655005
oct22671442612506157
93200746214261476
10663663013432431
111825109a3472801
1262526408490613
13226411cc6aabac
14b9c56658d6a75
1551ad5e83cdd06
hex25b99162a8c6f

663663013432431 has 64 divisors (see below), whose sum is σ = 985595953545216. Its totient is φ = 395084271859200.

The previous prime is 663663013432421. The next prime is 663663013432493. The reversal of 663663013432431 is 134234310366366.

663663013432431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 663663013432431 - 213 = 663663013424239 is a prime.

It is a super-2 number, since 2×6636630134324312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663663013432421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653624376 + ... + 654638946.

It is an arithmetic number, because the mean of its divisors is an integer number (15399936774144).

Almost surely, 2663663013432431 is an apocalyptic number.

663663013432431 is a deficient number, since it is larger than the sum of its proper divisors (321932940112785).

663663013432431 is a wasteful number, since it uses less digits than its factorization.

663663013432431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019132.

The product of its (nonzero) digits is 10077696, while the sum is 51.

Adding to 663663013432431 its reverse (134234310366366), we get a palindrome (797897323798797).

The spelling of 663663013432431 in words is "six hundred sixty-three trillion, six hundred sixty-three billion, thirteen million, four hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 17 23 51 69 127 381 391 1173 2159 2921 4391 6477 8763 13173 49657 74647 100993 148971 223941 302979 557657 1014571 1672971 1716881 3043713 5150643 9480169 12826111 17247707 23335133 28440507 38478333 51743121 70005399 128850517 218043887 386551551 396697261 654131661 1190091783 2190458789 2963561891 4454981261 6571376367 8890685673 13364943783 50380552147 75734681437 102464569003 151141656441 227204044311 307393707009 565782620147 1697347860441 1741897673051 5225693019153 9618304542499 13013000263381 28854913627497 39039000790143 221221004477477 663663013432431