Search a number
-
+
950473023752 = 237241212012
BaseRepresentation
bin11011101010011001001…
…10110110000100001000
310100212100002200100110102
431311030212312010020
5111033032043230002
62004350303304532
7125445415254200
oct15651446660410
93325302610412
10950473023752
1133710327466a
1213425b5ab148
136b824527335
1434008889400
1519acd6aba02
hexdd4c9b6108

950473023752 has 108 divisors (see below), whose sum is σ = 2126665413495. Its totient is φ = 397079424000.

The previous prime is 950473023743. The next prime is 950473023767. The reversal of 950473023752 is 257320374059.

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 5 ways, for example, as 237350198596 + 713122825156 = 487186^2 + 844466^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=689374.

It is a junction number, because it is equal to n+sod(n) for n = 950473023697 and 950473023706.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 791400752 + ... + 791401952.

Almost surely, 2950473023752 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 950473023752

950473023752 is an abundant number, since it is smaller than the sum of its proper divisors (1176192389743).

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

950473023752 is an equidigital number, since it uses as much as digits as its factorization.

950473023752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 47.

The spelling of 950473023752 in words is "nine hundred fifty billion, four hundred seventy-three million, twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 1201 1681 2009 2296 2402 3362 4018 4804 6724 8036 8407 9608 11767 13448 16072 16814 23534 33628 47068 49241 58849 67256 82369 94136 98482 117698 164738 196964 235396 329476 344687 393928 470792 658952 689374 1378748 1442401 2018881 2412809 2757496 2884802 4037762 4825618 5769604 8075524 9651236 10096807 11539208 14132167 16151048 19302472 20193614 28264334 40387228 56528668 59138441 70677649 80774456 98925169 113057336 118276882 141355298 197850338 236553764 282710596 395700676 413969087 473107528 565421192 791401352 827938174 1655876348 2424676081 2897783609 3311752696 4849352162 5795567218 9698704324 11591134436 16972732567 19397408648 23182268872 33945465134 67890930268 118809127969 135781860536 237618255938 475236511876 950473023752