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129481714152 = 233271399183637
BaseRepresentation
bin111100010010110110…
…1100010100111101000
3110101012210200121002200
41320211231202213220
54110134304323102
6135252202300200
712232451260620
oct1704555424750
9411183617080
10129481714152
114aa0506331a
12211171b7660
13c2966b960b
1463a4713880
15357c5d751c
hex1e25b629e8

129481714152 has 96 divisors (see below), whose sum is σ = 401065392000. Its totient is φ = 36968130432.

The previous prime is 129481714127. The next prime is 129481714171. The reversal of 129481714152 is 251417184921.

It is a happy number.

129481714152 is a `hidden beast` number, since 1 + 2 + 9 + 481 + 7 + 14 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 129481714098 and 129481714107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613278 + ... + 796914.

It is an arithmetic number, because the mean of its divisors is an integer number (4177764500).

Almost surely, 2129481714152 is an apocalyptic number.

129481714152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129481714152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200532696000).

129481714152 is an abundant number, since it is smaller than the sum of its proper divisors (271583677848).

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

129481714152 is a wasteful number, since it uses less digits than its factorization.

129481714152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185055 (or 185048 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 129481714152 in words is "one hundred twenty-nine billion, four hundred eighty-one million, seven hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1399 2798 4197 5596 8394 9793 11192 12591 16788 19586 25182 29379 33576 39172 50364 58758 78344 88137 100728 117516 176274 183637 235032 352548 367274 550911 705096 734548 1101822 1285459 1469096 1652733 2203644 2570918 3305466 3856377 4407288 5141836 6610932 7712754 10283672 11569131 13221864 15425508 23138262 30851016 46276524 92553048 256908163 513816326 770724489 1027632652 1541448978 1798357141 2055265304 2312173467 3082897956 3596714282 4624346934 5395071423 6165795912 7193428564 9248693868 10790142846 14386857128 16185214269 18497387736 21580285692 32370428538 43160571384 64740857076 129481714152