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38025069264 = 24327132901791
BaseRepresentation
bin100011011010011110…
…001000001011010000
310122011000212122211200
4203122132020023100
51110333404204024
625245105111200
72514203520150
oct433236101320
9118130778750
1038025069264
1115143184386
127452628500
13377cb74ab0
141baa19a760
15ec84272c9
hex8da7882d0

38025069264 has 120 divisors (see below), whose sum is σ = 130975283712. Its totient is φ = 10028586240.

The previous prime is 38025069259. The next prime is 38025069317. The reversal of 38025069264 is 46296052083.

38025069264 is a `hidden beast` number, since 3 + 80 + 2 + 506 + 9 + 2 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437792 + ... + 1463999.

Almost surely, 238025069264 is an apocalyptic number.

It is an amenable number.

38025069264 is an abundant number, since it is smaller than the sum of its proper divisors (92950214448).

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

38025069264 is a wasteful number, since it uses less digits than its factorization.

38025069264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901825 (or 2901816 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38025069264 in words is "thirty-eight billion, twenty-five million, sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 2901791 5803582 8705373 11607164 17410746 20312537 23214328 26116119 34821492 37723283 40625074 46428656 52232238 60937611 69642984 75446566 81250148 104464476 113169849 121875222 139285968 150893132 162500296 182812833 208928952 226339698 243750444 264062981 301786264 325000592 339509547 365625666 417857904 452679396 487500888 528125962 603572528 679019094 731251332 792188943 905358792 975001776 1056251924 1358038188 1462502664 1584377886 1810717584 2112503848 2376566829 2716076376 2925005328 3168755772 4225007696 4753133658 5432152752 6337511544 9506267316 12675023088 19012534632 38025069264