Search a number
-
+
125084830770 = 237510753453
BaseRepresentation
bin111010001111110100…
…0110000110000110010
3102221212101011210000000
41310133220300300302
54022133204041040
6133244014010430
712015501342624
oct1643750606062
9387771153000
10125084830770
11490591427a9
12202aa7a6a16
13ba457a8083
1460a87aac14
1533c15b7130
hex1d1fa30c32

125084830770 has 128 divisors (see below), whose sum is σ = 340839809280. Its totient is φ = 33043598784.

The previous prime is 125084830721. The next prime is 125084830777. The reversal of 125084830770 is 77038480521.

125084830770 is a `hidden beast` number, since 1 + 2 + 508 + 48 + 30 + 7 + 70 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125084830777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2313364 + ... + 2366816.

It is an arithmetic number, because the mean of its divisors is an integer number (2662811010).

Almost surely, 2125084830770 is an apocalyptic number.

125084830770 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 125084830770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170419904640).

125084830770 is an abundant number, since it is smaller than the sum of its proper divisors (215754978510).

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

125084830770 is an equidigital number, since it uses as much as digits as its factorization.

125084830770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53588 (or 53570 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 125084830770 in words is "one hundred twenty-five billion, eighty-four million, eight hundred thirty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 243 270 321 405 486 535 642 729 810 963 1070 1215 1458 1605 1926 2187 2430 2889 3210 3645 4374 4815 5778 7290 8667 9630 10935 14445 17334 21870 26001 28890 43335 52002 53453 78003 86670 106906 130005 156006 160359 234009 260010 267265 320718 390015 468018 481077 534530 780030 801795 962154 1170045 1443231 1603590 2340090 2405385 2886462 4329693 4810770 5719471 7216155 8659386 11438942 12989079 14432310 17158413 21648465 25978158 28597355 34316826 38967237 43296930 51475239 57194710 64945395 77934474 85792065 102950478 116901711 129890790 154425717 171584130 194836185 233803422 257376195 308851434 389672370 463277151 514752390 584508555 772128585 926554302 1169017110 1389831453 1544257170 2316385755 2779662906 4169494359 4632771510 6949157265 8338988718 12508483077 13898314530 20847471795 25016966154 41694943590 62542415385 125084830770