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325410467648 = 267237275797
BaseRepresentation
bin1001011110000111111…
…10011010111101000000
31011002221102012112022112
410233003332122331000
520312420034431043
6405254055354452
732336655223400
oct4570376327500
91132842175275
10325410467648
111160077a8792
1253097382a28
13248bc400096
1411a6dc16800
1586e8411518
hex4bc3f9af40

325410467648 has 126 divisors (see below), whose sum is σ = 772023322854. Its totient is φ = 135690605568.

The previous prime is 325410467609. The next prime is 325410467671. The reversal of 325410467648 is 846764014523.

It can be written as a sum of positive squares in 3 ways, for example, as 224342427904 + 101068039744 = 473648^2 + 317912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 325410467596 and 325410467605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4255286 + ... + 4331082.

It is an arithmetic number, because the mean of its divisors is an integer number (6127169229).

Almost surely, 2325410467648 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 325410467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386011661427).

325410467648 is an abundant number, since it is smaller than the sum of its proper divisors (446612855206).

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

325410467648 is an equidigital number, since it uses as much as digits as its factorization.

325410467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75897 (or 75843 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 325410467648 in words is "three hundred twenty-five billion, four hundred ten million, four hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 148 196 224 259 296 392 448 518 592 784 1036 1184 1369 1568 1813 2072 2368 2738 3136 3626 4144 5476 7252 8288 9583 10952 14504 16576 19166 21904 29008 38332 43808 58016 67081 75797 76664 87616 116032 134162 151594 153328 268324 303188 306656 530579 536648 606376 613312 1061158 1073296 1212752 2122316 2146592 2425504 2804489 3714053 4244632 4293184 4851008 5608978 7428106 8489264 11217956 14856212 16978528 19631423 22435912 29712424 33957056 39262846 44871824 59424848 78525692 89743648 103766093 118849696 137419961 157051384 179487296 207532186 237699392 274839922 314102768 415064372 549679844 628205536 726362651 830128744 1099359688 1256411072 1452725302 1660257488 2198719376 2905450604 3320514976 4397438752 5084538557 5810901208 6641029952 8794877504 10169077114 11621802416 20338154228 23243604832 40676308456 46487209664 81352616912 162705233824 325410467648