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57001406250 = 2357277439
BaseRepresentation
bin110101000101100011…
…000110111100101010
312110010112012110102110
4311011203012330222
51413214330000000
642104105543150
74055355646605
oct650543067452
9173115173373
1057001406250
11221a0898208
12b0697a4ab6
1354b5448a69
142a8a53533c
15173938a850
hexd458c6f2a

57001406250 has 128 divisors (see below), whose sum is σ = 143343383040. Its totient is φ = 15111000000.

The previous prime is 57001406227. The next prime is 57001406279. The reversal of 57001406250 is 5260410075.

57001406250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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, 129843531 + ... + 129843969.

It is an arithmetic number, because the mean of its divisors is an integer number (1119870180).

Almost surely, 257001406250 is an apocalyptic number.

57001406250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57001406250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71671691520).

57001406250 is an abundant number, since it is smaller than the sum of its proper divisors (86341976790).

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

57001406250 is an frugal number, since it uses more digits than its factorization.

57001406250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 57001406250 in words is "fifty-seven billion, one million, four hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 277 375 439 554 625 750 831 878 1250 1317 1385 1662 1875 2195 2634 2770 3125 3750 4155 4390 6250 6585 6925 8310 9375 10975 13170 13850 15625 18750 20775 21950 31250 32925 34625 41550 46875 54875 65850 69250 78125 93750 103875 109750 121603 156250 164625 173125 207750 234375 243206 274375 329250 346250 364809 468750 519375 548750 608015 729618 823125 865625 1038750 1216030 1371875 1646250 1731250 1824045 2596875 2743750 3040075 3648090 4115625 4328125 5193750 6080150 6859375 8231250 8656250 9120225 12984375 13718750 15200375 18240450 20578125 21640625 25968750 30400750 34296875 41156250 43281250 45601125 64921875 68593750 76001875 91202250 102890625 129843750 152003750 205781250 228005625 380009375 456011250 760018750 1140028125 1900046875 2280056250 3800093750 5700140625 9500234375 11400281250 19000468750 28500703125 57001406250