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129274072512 = 26313101512797
BaseRepresentation
bin111100001100101010…
…1011100110111000000
3110100200022222022022120
41320121111130313000
54104223130310022
6135215424004240
712224350325454
oct1703125346700
9410608868276
10129274072512
114a908931062
1221079760680
13c262688040
146384d02664
15356926dd5c
hex1e1955cdc0

129274072512 has 112 divisors (see below), whose sum is σ = 371995976352. Its totient is φ = 39382732800.

The previous prime is 129274072483. The next prime is 129274072513. The reversal of 129274072512 is 215270472921.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129274072513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303 + ... + 508494.

It is an arithmetic number, because the mean of its divisors is an integer number (3321392646).

Almost surely, 2129274072512 is an apocalyptic number.

129274072512 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 129274072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185997988176).

129274072512 is an abundant number, since it is smaller than the sum of its proper divisors (242721903840).

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

129274072512 is a wasteful number, since it uses less digits than its factorization.

129274072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512926 (or 512916 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 129274072512 in words is "one hundred twenty-nine billion, two hundred seventy-four million, seventy-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 156 192 202 208 303 312 404 416 606 624 808 832 1212 1248 1313 1616 2424 2496 2626 3232 3939 4848 5252 6464 7878 9696 10504 15756 19392 21008 31512 42016 63024 84032 126048 252096 512797 1025594 1538391 2051188 3076782 4102376 6153564 6666361 8204752 12307128 13332722 16409504 19999083 24614256 26665444 32819008 39998166 49228512 51792497 53330888 79996332 98457024 103584994 106661776 155377491 159992664 207169988 213323552 310754982 319985328 414339976 426647104 621509964 639970656 673302461 828679952 1243019928 1279941312 1346604922 1657359904 2019907383 2486039856 2693209844 3314719808 4039814766 4972079712 5386419688 8079629532 9944159424 10772839376 16159259064 21545678752 32318518128 43091357504 64637036256 129274072512