Search a number
-
+
129645968031 = 323116319314771
BaseRepresentation
bin111100010111110000…
…0000111101010011111
3110101122020202120001200
41320233200013222133
54111003331434111
6135320351010543
712236514355116
oct1705740075237
9411566676050
10129645968031
114aa89850728
1221162209a53
13c2c1739368
1463bc46cc7d
15358bc30256
hex1e2f807a9f

129645968031 has 48 divisors (see below), whose sum is σ = 195514156032. Its totient is φ = 82693094400.

The previous prime is 129645968003. The next prime is 129645968077. The reversal of 129645968031 is 130869546921.

129645968031 is a `hidden beast` number, since 12 + 9 + 6 + 4 + 596 + 8 + 0 + 31 = 666.

It is not a de Polignac number, because 129645968031 - 214 = 129645951647 is a prime.

It is a super-2 number, since 2×1296459680312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129645968731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8769676 + ... + 8784446.

It is an arithmetic number, because the mean of its divisors is an integer number (4073211584).

Almost surely, 2129645968031 is an apocalyptic number.

129645968031 is a deficient number, since it is larger than the sum of its proper divisors (65868188001).

129645968031 is a wasteful number, since it uses less digits than its factorization.

129645968031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15164 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 129645968031 in words is "one hundred twenty-nine billion, six hundred forty-five million, nine hundred sixty-eight thousand, thirty-one".

Divisors: 1 3 9 31 93 163 193 279 489 579 1467 1737 5053 5983 14771 15159 17949 31459 44313 45477 53847 94377 132939 283131 457901 975229 1373703 2407673 2850803 2925687 4121109 7223019 8552409 8777061 21669057 25657227 74637863 88374893 223913589 265124679 464680889 671740767 795374037 1394042667 4182128001 14405107559 43215322677 129645968031