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129932743030272 = 2933713235143933
BaseRepresentation
bin11101100010110001010010…
…111111100011011000000000
3122001001110010021011020001000
4131202301102333203120000
5114012304224203432042
61140202140023412000
736240221332663560
oct3542612277433000
9561043107136030
10129932743030272
1138445192112426
12126a5a048b4000
1357667b350c190
142412ac79bada0
151004caebbc74c
hex762c52fe3600

129932743030272 has 640 divisors, whose sum is σ = 473578209054720. Its totient is φ = 34252620595200.

The previous prime is 129932743030253. The next prime is 129932743030313. The reversal of 129932743030272 is 272030347239921.

It is a happy number.

129932743030272 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 327 + 4 + 3 + 0 + 302 + 7 + 2 = 666.

It is a super-2 number, since 2×1299327430302722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2957498418 + ... + 2957542350.

It is an arithmetic number, because the mean of its divisors is an integer number (739965951648).

Almost surely, 2129932743030272 is an apocalyptic number.

129932743030272 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 129932743030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236789104527360).

129932743030272 is an abundant number, since it is smaller than the sum of its proper divisors (343645466024448).

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

129932743030272 is a wasteful number, since it uses less digits than its factorization.

129932743030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46331 (or 46309 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 129932743030272 in words is "one hundred twenty-nine trillion, nine hundred thirty-two billion, seven hundred forty-three million, thirty thousand, two hundred seventy-two".