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125382291848 = 231121925992
BaseRepresentation
bin111010011000101011…
…1011111000110001000
3102222122002220100212222
41310301113133012020
54023240331314343
6133333321353212
712026042616242
oct1646127370610
9388562810788
10125382291848
11491a1042700
1220372338808
13ba922c7348
1460d60bd092
1533dc773a68
hex1d315df188

125382291848 has 108 divisors (see below), whose sum is σ = 273178903095. Its totient is φ = 53902236960.

The previous prime is 125382291833. The next prime is 125382291851. The reversal of 125382291848 is 848192283521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 62691145924 + 62691145924 = 250382^2 + 250382^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=250382.

It is a self number, because there is not a number n which added to its sum of digits gives 125382291848.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 209319053 + ... + 209319651.

Almost surely, 2125382291848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125382291848

125382291848 is an abundant number, since it is smaller than the sum of its proper divisors (147796611247).

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

125382291848 is an equidigital number, since it uses as much as digits as its factorization.

125382291848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 631 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 53.

The spelling of 125382291848 in words is "one hundred twenty-five billion, three hundred eighty-two million, two hundred ninety-one thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 418 484 599 722 836 968 1198 1444 1672 2299 2396 2888 3971 4598 4792 6589 7942 9196 11381 13178 15884 18392 22762 26356 31768 43681 45524 52712 72479 87362 91048 125191 144958 174724 216239 250382 289916 349448 358801 432478 500764 579832 717602 864956 1001528 1377101 1435204 1729912 2378629 2754202 2870408 3946811 4757258 5508404 6817219 7893622 9514516 11016808 13634438 15787244 19029032 26164919 27268876 31574488 43414921 52329838 54537752 74989409 86829842 104659676 129527161 149978818 173659684 209319352 259054322 299957636 347319368 518108644 599915272 824883499 1036217288 1424798771 1649766998 2849597542 3299533996 5699195084 6599067992 11398390168 15672786481 31345572962 62691145924 125382291848