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125075750850 = 232527314332657
BaseRepresentation
bin111010001111100011…
…0000111111111000010
3102221211202002110200200
41310133012013333002
54022123343011400
6133243051230030
712015331224561
oct1643706077702
9387752073620
10125075750850
1149054000936
12202a7748316
13ba4394923b
1460a74c5bd8
1533c08c1b00
hex1d1f187fc2

125075750850 has 144 divisors (see below), whose sum is σ = 341006100552. Its totient is φ = 32861306880.

The previous prime is 125075750837. The next prime is 125075750861. The reversal of 125075750850 is 58057570521.

125075750850 is a `hidden beast` number, since 1 + 25 + 0 + 7 + 575 + 0 + 8 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 33235842249 + 91839908601 = 182307^2 + 303051^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 125075750796 and 125075750805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47072722 + ... + 47075378.

Almost surely, 2125075750850 is an apocalyptic number.

125075750850 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 125075750850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170503050276).

125075750850 is an abundant number, since it is smaller than the sum of its proper divisors (215930349702).

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

125075750850 is a wasteful number, since it uses less digits than its factorization.

125075750850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

The spelling of 125075750850 in words is "one hundred twenty-five billion, seventy-five million, seven hundred fifty thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1433 1825 2190 2657 2866 3285 3650 4299 5314 5475 6570 7165 7971 8598 10950 12897 13285 14330 15942 16425 21495 23913 25794 26570 32850 35825 39855 42990 47826 64485 66425 71650 79710 104609 107475 119565 128970 132850 193961 199275 209218 214950 239130 313827 322425 387922 398550 523045 581883 597825 627654 644850 941481 969805 1046090 1163766 1195650 1569135 1745649 1882962 1939610 2615225 2909415 3138270 3491298 3807481 4707405 4849025 5230450 5818830 7614962 7845675 8728245 9414810 9698050 11422443 14547075 15691350 17456490 19037405 22844886 23537025 29094150 34267329 38074810 43641225 47074050 57112215 68534658 87282450 95187025 114224430 171336645 190374050 277946113 285561075 342673290 555892226 571122150 833838339 856683225 1389730565 1667676678 1713366450 2501515017 2779461130 4169191695 5003030034 6948652825 8338383390 12507575085 13897305650 20845958475 25015150170 41691916950 62537875425 125075750850