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2125455570 = 232574996761
BaseRepresentation
bin111111010101111…
…1110000011010010
312111010102022220200
41332223332003102
513323104034240
6550523520030
7103446034320
oct17653760322
95433368820
102125455570
119a0845257
124b3989016
1327b461524
141623d4d10
15c68e4930
hex7eafe0d2

2125455570 has 96 divisors (see below), whose sum is σ = 6329232000. Its totient is φ = 484773120.

The previous prime is 2125455499. The next prime is 2125455571. The reversal of 2125455570 is 755545212.

2125455570 is a `hidden beast` number, since 21 + 25 + 45 + 5 + 570 = 666.

It is a super-2 number, since 2×21254555702 = 9035122760088049800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2125455571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310990 + ... + 317750.

It is an arithmetic number, because the mean of its divisors is an integer number (65929500).

Almost surely, 22125455570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125455570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164616000).

2125455570 is an abundant number, since it is smaller than the sum of its proper divisors (4203776430).

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

2125455570 is a wasteful number, since it uses less digits than its factorization.

2125455570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 2125455570 is about 46102.6633720873. The cubic root of 2125455570 is about 1285.7326631765.

The spelling of 2125455570 in words is "two billion, one hundred twenty-five million, four hundred fifty-five thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 499 630 998 1497 2495 2994 3493 4491 4990 6761 6986 7485 8982 10479 13522 14970 17465 20283 20958 22455 31437 33805 34930 40566 44910 47327 52395 60849 62874 67610 94654 101415 104790 121698 141981 157185 202830 236635 283962 304245 314370 425943 473270 608490 709905 851886 1419810 2129715 3373739 4259430 6747478 10121217 16868695 20242434 23616173 30363651 33737390 47232346 50606085 60727302 70848519 101212170 118080865 141697038 151818255 212545557 236161730 303636510 354242595 425091114 708485190 1062727785 2125455570