Search a number
-
+
129631693176 = 23329720279157
BaseRepresentation
bin111100010111010100…
…1101010100101111000
3110101121020220022122100
41320232221222211320
54110441203140201
6135315121023400
712236252132346
oct1705651524570
9411536808570
10129631693176
114aa81790827
1221159484b60
13c2bb7ababb
1463ba5d4996
15358a860886
hex1e2ea6a978

129631693176 has 96 divisors (see below), whose sum is σ = 354919022640. Its totient is φ = 42739329024.

The previous prime is 129631693127. The next prime is 129631693181. The reversal of 129631693176 is 671396136921.

129631693176 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 316 + 9 + 317 + 6 = 666.

129631693176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1296316931763 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14151990 + ... + 14161146.

Almost surely, 2129631693176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129631693176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177459511320).

129631693176 is an abundant number, since it is smaller than the sum of its proper divisors (225287329464).

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

129631693176 is a wasteful number, since it uses less digits than its factorization.

129631693176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11293 (or 11286 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 129631693176 in words is "one hundred twenty-nine billion, six hundred thirty-one million, six hundred ninety-three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2027 2328 3492 4054 6081 6984 8108 9157 12162 16216 18243 18314 24324 27471 36486 36628 48648 54942 72972 73256 82413 109884 145944 164826 196619 219768 329652 393238 589857 659304 786476 888229 1179714 1572952 1769571 1776458 2359428 2664687 3539142 3552916 4718856 5329374 7078284 7105832 7994061 10658748 14156568 15988122 18561239 21317496 31976244 37122478 55683717 63952488 74244956 111367434 148489912 167051151 222734868 334102302 445469736 668204604 1336409208 1800440183 3600880366 5401320549 7201760732 10802641098 14403521464 16203961647 21605282196 32407923294 43210564392 64815846588 129631693176