Search a number
-
+
10645256665056 = 2531310978255533
BaseRepresentation
bin1001101011101000101010…
…1111011111011111100000
31101200200021020111002122110
42122322022233133133200
52343402441201240211
634350210254435320
72146044245452236
oct232721257373740
941620236432573
1010645256665056
11343469a958942
12123b156b02b40
135c2ac6c31180
1428b339b74956
15136d92eecea6
hex9ae8abdf7e0

10645256665056 has 96 divisors (see below), whose sum is σ = 30369407634720. Its totient is φ = 3245413423104.

The previous prime is 10645256665051. The next prime is 10645256665063. The reversal of 10645256665056 is 65056665254601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106452566650562 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10645256664987 and 10645256665005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645256665051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38991735 + ... + 39263798.

It is an arithmetic number, because the mean of its divisors is an integer number (316347996195).

Almost surely, 210645256665056 is an apocalyptic number.

10645256665056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10645256665056 is an abundant number, since it is smaller than the sum of its proper divisors (19724150969664).

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

10645256665056 is a wasteful number, since it uses less digits than its factorization.

10645256665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78255668 (or 78255660 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 57.

The spelling of 10645256665056 in words is "ten trillion, six hundred forty-five billion, two hundred fifty-six million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 109 156 208 218 312 327 416 436 624 654 872 1248 1308 1417 1744 2616 2834 3488 4251 5232 5668 8502 10464 11336 17004 22672 34008 45344 68016 136032 78255533 156511066 234766599 313022132 469533198 626044264 939066396 1017321929 1252088528 1878132792 2034643858 2504177056 3051965787 3756265584 4069287716 6103931574 7512531168 8138575432 8529853097 12207863148 16277150864 17059706194 24415726296 25589559291 32554301728 34119412388 48831452592 51179118582 68238824776 97662905184 102358237164 110888090261 136477649552 204716474328 221776180522 272955299104 332664270783 409432948656 443552361044 665328541566 818865897312 887104722088 1330657083132 1774209444176 2661314166264 3548418888352 5322628332528 10645256665056