Search a number
-
+
129665570400 = 25325218009107
BaseRepresentation
bin111100011000010101…
…0111001011001100000
3110101200121122110110100
41320300222321121200
54111023341223100
6135322331102400
712240143106642
oct1706052713140
9411617573410
10129665570400
114aa9991a233
12211688a1a00
13c2c58107b2
1463c0cd2892
15358d803400
hex1e30ab9660

129665570400 has 108 divisors (see below), whose sum is σ = 457233243012. Its totient is φ = 34577483520.

The previous prime is 129665570393. The next prime is 129665570413. The reversal of 129665570400 is 4075566921.

129665570400 is a `hidden beast` number, since 1 + 2 + 96 + 6 + 557 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8997354 + ... + 9011753.

It is an arithmetic number, because the mean of its divisors is an integer number (4233641139).

Almost surely, 2129665570400 is an apocalyptic number.

129665570400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129665570400 is an abundant number, since it is smaller than the sum of its proper divisors (327567672612).

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

129665570400 is a wasteful number, since it uses less digits than its factorization.

129665570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009133 (or 18009117 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 129665570400 in words is "one hundred twenty-nine billion, six hundred sixty-five million, five hundred seventy thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 18009107 36018214 54027321 72036428 90045535 108054642 144072856 162081963 180091070 216109284 270136605 288145712 324163926 360182140 432218568 450227675 540273210 576291424 648327852 720364280 810409815 864437136 900455350 1080546420 1296655704 1350683025 1440728560 1620819630 1728874272 1800910700 2161092840 2593311408 2701366050 2881457120 3241639260 3601821400 4052049075 4322185680 5186622816 5402732100 6483278520 7203642800 8104098150 8644371360 10805464200 12966557040 14407285600 16208196300 21610928400 25933114080 32416392600 43221856800 64832785200 129665570400