Search a number
-
+
42963563366520 = 23353115317543661
BaseRepresentation
bin10011100010011001110111…
…11011101100100001111000
312122010021110121020112011220
421301030323323230201320
521112403334210212040
6231213104420152040
712023005103034516
oct1161147373544170
9178107417215156
1042963563366520
111276482150a815
12499a762538620
131ac85a6369ac4
14a8763a1794b6
154e78aa7012d0
hex27133beec878

42963563366520 has 128 divisors (see below), whose sum is σ = 133135374919680. Its totient is φ = 11080127808000.

The previous prime is 42963563366509. The next prime is 42963563366561. The reversal of 42963563366520 is 2566336536924.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1923490 + ... + 9467150.

It is an arithmetic number, because the mean of its divisors is an integer number (1040120116560).

Almost surely, 242963563366520 is an apocalyptic number.

42963563366520 is a gapful number since it is divisible by the number (40) 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 42963563366520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66567687459840).

42963563366520 is an abundant number, since it is smaller than the sum of its proper divisors (90171811553160).

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

42963563366520 is a wasteful number, since it uses less digits than its factorization.

42963563366520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545237 (or 7545233 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 60.

The spelling of 42963563366520 in words is "forty-two trillion, nine hundred sixty-three billion, five hundred sixty-three million, three hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1531 1860 3062 3720 4593 6124 7655 9186 12248 15310 18372 22965 30620 36744 45930 47461 61240 91860 94922 142383 183720 189844 237305 284766 379688 474610 569532 711915 949220 1139064 1423830 1898440 2847660 5695320 7543661 15087322 22630983 30174644 37718305 45261966 60349288 75436610 90523932 113154915 150873220 181047864 226309830 233853491 301746440 452619660 467706982 701560473 905239320 935413964 1169267455 1403120946 1870827928 2338534910 2806241892 3507802365 4677069820 5612483784 7015604730 9354139640 11549344991 14031209460 23098689982 28062418920 34648034973 46197379964 57746724955 69296069946 92394759928 115493449910 138592139892 173240174865 230986899820 277184279784 346480349730 358029694721 461973799640 692960699460 716059389442 1074089084163 1385921398920 1432118778884 1790148473605 2148178168326 2864237557768 3580296947210 4296356336652 5370445420815 7160593894420 8592712673304 10740890841630 14321187788840 21481781683260 42963563366520