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129346737312 = 25313103643219
BaseRepresentation
bin111100001110110101…
…0101001010010100000
3110100212101201001200110
41320131222221102200
54104400231043222
6135230541251320
712226222061262
oct1703552512240
9410771631613
10129346737312
114a945952211
1221099b63b40
13c27474a770
146390819b32
15357082430c
hex1e1daa94a0

129346737312 has 48 divisors (see below), whose sum is σ = 365653280160. Its totient is φ = 39798995712.

The previous prime is 129346737277. The next prime is 129346737341. The reversal of 129346737312 is 213737643921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51820362 + ... + 51822857.

It is an arithmetic number, because the mean of its divisors is an integer number (7617776670).

Almost surely, 2129346737312 is an apocalyptic number.

129346737312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129346737312 is an abundant number, since it is smaller than the sum of its proper divisors (236306542848).

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

129346737312 is a wasteful number, since it uses less digits than its factorization.

129346737312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103643245 (or 103643237 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The spelling of 129346737312 in words is "one hundred twenty-nine billion, three hundred forty-six million, seven hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 103643219 207286438 310929657 414572876 621859314 829145752 1243718628 1347361847 1658291504 2487437256 2694723694 3316583008 4042085541 4974874512 5389447388 8084171082 9949749024 10778894776 16168342164 21557789552 32336684328 43115579104 64673368656 129346737312