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129992909184 = 273361332
BaseRepresentation
bin111100100010000101…
…1100110000110000000
3110102112102120222212000
41321010023212012000
54112211141043214
6135415023104000
712251226332265
oct1710413460600
9412472528760
10129992909184
1150147676756
122123a442000
13c348591198
14641258126c
1535ac412809
hex1e442e6180

129992909184 has 96 divisors (see below), whose sum is σ = 383722194600. Its totient is φ = 43323904512.

The previous prime is 129992909183. The next prime is 129992909209. The reversal of 129992909184 is 481909299921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129992909183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21192582 + ... + 21198714.

Almost surely, 2129992909184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129992909184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191861097300).

129992909184 is an abundant number, since it is smaller than the sum of its proper divisors (253729285416).

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

129992909184 is an frugal number, since it uses more digits than its factorization.

129992909184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 129992909184 in words is "one hundred twenty-nine billion, nine hundred ninety-two million, nine hundred nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6133 12266 18399 24532 36798 49064 55197 73596 98128 110394 147192 165591 196256 220788 294384 331182 392512 441576 588768 662364 785024 883152 1177536 1324728 1766304 2355072 2649456 3532608 5298912 7065216 10597824 21195648 37613689 75227378 112841067 150454756 225682134 300909512 338523201 451364268 601819024 677046402 902728536 1015569603 1203638048 1354092804 1805457072 2031139206 2407276096 2708185608 3610914144 4062278412 4814552192 5416371216 7221828288 8124556824 10832742432 14443656576 16249113648 21665484864 32498227296 43330969728 64996454592 129992909184