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129846356964 = 223666732
BaseRepresentation
bin111100011101101110…
…0100010101111100100
3110102011012211101000000
41320323130202233210
54111411131410324
6135352310021300
712244466552322
oct1707334425744
9412135741000
10129846356964
1150081979915
12211b9347830
13c3240cb6ac
1463dad12d12
15359e6149c9
hex1e3b722be4

129846356964 has 63 divisors (see below), whose sum is σ = 340741898553. Its totient is φ = 43275632832.

The previous prime is 129846356933. The next prime is 129846356993. The reversal of 129846356964 is 469653648921.

The square root of 129846356964 is 360342.

It is a perfect power (a square), and thus also a powerful number.

129846356964 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 4 + 6 + 3 + 569 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4666256100 + 125180100864 = 68310^2 + 353808^2 .

It is a super-2 number, since 2×1298463569642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 19455132 + ... + 19461804.

Almost surely, 2129846356964 is an apocalyptic number.

129846356964 is the 360342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129846356964

129846356964 is an abundant number, since it is smaller than the sum of its proper divisors (210895541589).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129846356964 is an frugal number, since it uses more digits than its factorization.

129846356964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13368 (or 6678 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 129846356964 in words is "one hundred twenty-nine billion, eight hundred forty-six million, three hundred fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6673 13346 20019 26692 40038 60057 80076 120114 180171 240228 360342 540513 720684 1081026 1621539 2162052 3243078 4864617 6486156 9729234 19458468 44528929 89057858 133586787 178115716 267173574 400760361 534347148 801520722 1202281083 1603041444 2404562166 3606843249 4809124332 7213686498 10820529747 14427372996 21641059494 32461589241 43282118988 64923178482 129846356964