Search a number
-
+
130546646645031 = 3337368213548989
BaseRepresentation
bin11101101011101101000010…
…011111111111100100100111
3122010020010201021010002102000
4131223231002133333210213
5114102334013020120111
61141352145044420343
736332453413421601
oct3553550237774447
9563203637102360
10130546646645031
1138661581761531
12127849939a76b3
1357ac65a7cc166
1424346c4608171
151015c4047ec56
hex76bb427ff927

130546646645031 has 32 divisors (see below), whose sum is σ = 198634982865600. Its totient is φ = 84676582327680.

The previous prime is 130546646644969. The next prime is 130546646645099.

It is a happy number.

130546646645031 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 46 + 64 + 66 + 450 + 31 = 666.

130546646645031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130546646645031 - 27 = 130546646644903 is a prime.

It is a super-2 number, since 2×1305466466450312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130546646643031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35009685 + ... + 38558673.

It is an arithmetic number, because the mean of its divisors is an integer number (6207343214550).

Almost surely, 2130546646645031 is an apocalyptic number.

130546646645031 is a deficient number, since it is larger than the sum of its proper divisors (68088336220569).

130546646645031 is a wasteful number, since it uses less digits than its factorization.

130546646645031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585856 (or 3585850 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 130546646645031 in words is "one hundred thirty trillion, five hundred forty-six billion, six hundred forty-six million, six hundred forty-five thousand, thirty-one".

Divisors: 1 3 9 27 37 111 333 999 36821 110463 331389 994167 1362377 3548989 4087131 10646967 12261393 31940901 36784179 95822703 131312593 393937779 1181813337 3545440011 130677323969 392031971907 1176095915721 3528287747163 4835060986853 14505182960559 43515548881677 130546646645031