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129544992 = 25323712157
BaseRepresentation
bin1111011100010…
…11001100100000
3100000202120022200
413232023030200
5231130414432
620504333200
73132054123
oct756131440
9300676280
10129544992
1167141085
1237474200
1320ab9655
14132c23ba
15b58da7c
hex7b8b320

129544992 has 72 divisors (see below), whose sum is σ = 378381276. Its totient is φ = 42011136.

The previous prime is 129544979. The next prime is 129545011. The reversal of 129544992 is 299445921.

129544992 is a `hidden beast` number, since 12 + 9 + 544 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129140496 + 404496 = 11364^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4578 + ... + 16734.

Almost surely, 2129544992 is an apocalyptic number.

129544992 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 129544992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189190638).

129544992 is an abundant number, since it is smaller than the sum of its proper divisors (248836284).

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

129544992 is a wasteful number, since it uses less digits than its factorization.

129544992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12199 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 129544992 is about 11381.7833400570. The cubic root of 129544992 is about 505.9879909871.

The spelling of 129544992 in words is "one hundred twenty-nine million, five hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 12157 24314 36471 48628 72942 97256 109413 145884 194512 218826 291768 389024 437652 449809 583536 875304 899618 1167072 1349427 1750608 1799236 2698854 3501216 3598472 4048281 5397708 7196944 8096562 10795416 14393888 16193124 21590832 32386248 43181664 64772496 129544992