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129738112308 = 223271674436959
BaseRepresentation
bin111100011010011111…
…1100111110100110100
3110101212200010222020200
41320310333213310310
54111200424043213
6135333442000500
712242013521250
oct1706477476464
9411780128220
10129738112308
1150026867022
1221189046130
13c30785c2bc
1463ca7b7260
153594d82273
hex1e34fe7d34

129738112308 has 144 divisors (see below), whose sum is σ = 377948712960. Its totient is φ = 36757611072.

The previous prime is 129738112303. The next prime is 129738112313. The reversal of 129738112308 is 803211837921.

It is an interprime number because it is at equal distance from previous prime (129738112303) and next prime (129738112313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129738112303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18639733 + ... + 18646691.

It is an arithmetic number, because the mean of its divisors is an integer number (2624643840).

Almost surely, 2129738112308 is an apocalyptic number.

129738112308 is a gapful number since it is divisible by the number (18) 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 129738112308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188974356480).

129738112308 is an abundant number, since it is smaller than the sum of its proper divisors (248210600652).

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

129738112308 is a wasteful number, since it uses less digits than its factorization.

129738112308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 129738112308 in words is "one hundred twenty-nine billion, seven hundred thirty-eight million, one hundred twelve thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 334 443 501 668 886 1002 1169 1329 1503 1772 2004 2338 2658 3006 3101 3507 3987 4676 5316 6012 6202 6959 7014 7974 9303 10521 12404 13918 14028 15948 18606 20877 21042 27836 27909 37212 41754 42084 48713 55818 62631 73981 83508 97426 111636 125262 146139 147962 194852 221943 250524 292278 295924 438417 443886 517867 584556 665829 876834 887772 1035734 1162153 1331658 1553601 1753668 2071468 2324306 2663316 3082837 3107202 3486459 4648612 4660803 6165674 6214404 6972918 8135071 9248511 9321606 10459377 12331348 13945836 16270142 18497022 18643212 20918754 21579859 24405213 27745533 32540284 36994044 41837508 43159718 48810426 55491066 64739577 73215639 86319436 97620852 110982132 129479154 146431278 194218731 258958308 292862556 388437462 514833779 776874924 1029667558 1544501337 2059335116 3089002674 3603836453 4633504011 6178005348 7207672906 9267008022 10811509359 14415345812 18534016044 21623018718 32434528077 43246037436 64869056154 129738112308