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129002041152 = 263424884653
BaseRepresentation
bin111100000100100011…
…1101110111101000000
3110022222101002200110000
41320021013232331000
54103144010304102
6135132425240000
712214535154225
oct1701107567500
9408871080400
10129002041152
114a78931a956
1221002633000
13c21b20073a
14635ab2d94c
15355043701c
hex1e091eef40

129002041152 has 70 divisors (see below), whose sum is σ = 382402478018. Its totient is φ = 43000678656.

The previous prime is 129002041151. The next prime is 129002041159. The reversal of 129002041152 is 251140200921.

It can be written as a sum of positive squares in only one way, i.e., 104882708736 + 24119332416 = 323856^2 + 155304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129002041151) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12437143 + ... + 12447510.

Almost surely, 2129002041152 is an apocalyptic number.

129002041152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129002041152 is an abundant number, since it is smaller than the sum of its proper divisors (253400436866).

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

129002041152 is an equidigital number, since it uses as much as digits as its factorization.

129002041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24884677 (or 24884658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 129002041152 in words is "one hundred twenty-nine billion, two million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 24884653 49769306 74653959 99538612 149307918 199077224 223961877 298615836 398154448 447923754 597231672 671885631 796308896 895847508 1194463344 1343771262 1592617792 1791695016 2015656893 2388926688 2687542524 3583390032 4031313786 4777853376 5375085048 7166780064 8062627572 10750170096 14333560128 16125255144 21500340192 32250510288 43000680384 64501020576 129002041152