Search a number
-
+
10452648060 = 223252910319441
BaseRepresentation
bin10011011110000011…
…01100000001111100
3222222110111112112100
421233001230001330
5132401334214220
64445112305100
7520012020411
oct115701540174
928873445470
1010452648060
11448427a218
1220386a2190
13ca770356a
14712310108
154129c0d90
hex26f06c07c

10452648060 has 144 divisors (see below), whose sum is σ = 33119835840. Its totient is φ = 2664990720.

The previous prime is 10452648013. The next prime is 10452648061. The reversal of 10452648060 is 6084625401.

10452648060 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 2 + 648 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10452648061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527940 + ... + 547380.

It is an arithmetic number, because the mean of its divisors is an integer number (229998860).

Almost surely, 210452648060 is an apocalyptic number.

10452648060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10452648060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16559917920).

10452648060 is an abundant number, since it is smaller than the sum of its proper divisors (22667187780).

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

10452648060 is a wasteful number, since it uses less digits than its factorization.

10452648060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19588 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10452648060 in words is "ten billion, four hundred fifty-two million, six hundred forty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 103 116 145 174 180 206 261 290 309 348 412 435 515 522 580 618 870 927 1030 1044 1236 1305 1545 1740 1854 2060 2610 2987 3090 3708 4635 5220 5974 6180 8961 9270 11948 14935 17922 18540 19441 26883 29870 35844 38882 44805 53766 58323 59740 77764 89610 97205 107532 116646 134415 174969 179220 194410 233292 268830 291615 349938 388820 537660 563789 583230 699876 874845 1127578 1166460 1691367 1749690 2002423 2255156 2818945 3382734 3499380 4004846 5074101 5637890 6007269 6765468 8009692 8456835 10012115 10148202 11275780 12014538 16913670 18021807 20024230 20296404 24029076 25370505 30036345 33827340 36043614 40048460 50741010 58070267 60072690 72087228 90109035 101482020 116140534 120145380 174210801 180218070 232281068 290351335 348421602 360436140 522632403 580702670 696843204 871054005 1045264806 1161405340 1742108010 2090529612 2613162015 3484216020 5226324030 10452648060