Search a number
-
+
125623772250 = 2353318816133
BaseRepresentation
bin111010011111111000…
…0101010010001011010
3110000020221021211201120
41310333300222101122
54024234141203000
6133413305230110
712035034305604
oct1647760522132
9400227254646
10125623772250
1149305387489
122041b192336
13bb00345c62
14611a1bc174
153403a736a0
hex1d3fc2a45a

125623772250 has 128 divisors (see below), whose sum is σ = 324091901952. Its totient is φ = 32376960000.

The previous prime is 125623772233. The next prime is 125623772297. The reversal of 125623772250 is 52277326521.

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, 20480184 + ... + 20486316.

It is an arithmetic number, because the mean of its divisors is an integer number (2531967984).

Almost surely, 2125623772250 is an apocalyptic number.

125623772250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125623772250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162045950976).

125623772250 is an abundant number, since it is smaller than the sum of its proper divisors (198468129702).

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

125623772250 is a wasteful number, since it uses less digits than its factorization.

125623772250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 125623772250 in words is "one hundred twenty-five billion, six hundred twenty-three million, seven hundred seventy-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 750 775 881 930 1550 1762 2325 2643 3875 4405 4650 5286 6133 7750 8810 11625 12266 13215 18399 22025 23250 26430 27311 30665 36798 44050 54622 61330 66075 81933 91995 110125 132150 136555 153325 163866 183990 190123 220250 273110 306650 330375 380246 409665 459975 570369 660750 682775 766625 819330 919950 950615 1140738 1365550 1533250 1901230 2048325 2299875 2851845 3413875 4096650 4599750 4753075 5403173 5703690 6827750 9506150 10241625 10806346 14259225 16209519 20483250 23765375 27015865 28518450 32419038 47530750 54031730 71296125 81047595 135079325 142592250 162095190 167498363 270158650 334996726 405237975 502495089 675396625 810475950 837491815 1004990178 1350793250 1674983630 2026189875 2512475445 4052379750 4187459075 5024950890 8374918150 12562377225 20937295375 25124754450 41874590750 62811886125 125623772250