Search a number
-
+
12536456242332 = 223112310140883837
BaseRepresentation
bin1011011001101101111100…
…0001010110010010011100
31122101110210012010210220110
42312123133001112102130
53120344130244223312
642355100221050020
72432505033564561
oct266333701262234
948343705123813
1012536456242332
113aa37547a67a0
1214a57959b6910
136cc24b672589
14314aa68a0868
1516b17e38843c
hexb66df05649c

12536456242332 has 96 divisors (see below), whose sum is σ = 33628101502464. Its totient is φ = 3597777568000.

The previous prime is 12536456242319. The next prime is 12536456242337. The reversal of 12536456242332 is 23324265463521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12536456242337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20135283 + ... + 20748554.

It is an arithmetic number, because the mean of its divisors is an integer number (350292723984).

Almost surely, 212536456242332 is an apocalyptic number.

12536456242332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12536456242332 is an abundant number, since it is smaller than the sum of its proper divisors (21091645260132).

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

12536456242332 is a wasteful number, since it uses less digits than its factorization.

12536456242332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40883979 (or 40883977 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 48.

The spelling of 12536456242332 in words is "twelve trillion, five hundred thirty-six billion, four hundred fifty-six million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 132 138 202 253 276 303 404 506 606 759 1012 1111 1212 1518 2222 2323 3036 3333 4444 4646 6666 6969 9292 13332 13938 25553 27876 51106 76659 102212 153318 306636 40883837 81767674 122651511 163535348 245303022 449722207 490606044 899444414 940328251 1349166621 1798888828 1880656502 2698333242 2820984753 3761313004 4129267537 5396666484 5641969506 8258535074 10343610761 11283939012 12387802611 16517070148 20687221522 24775605222 31030832283 41374443044 45421942907 49551210444 62061664566 90843885814 94973153351 124123329132 136265828721 181687771628 189946306702 272531657442 284919460053 379892613404 545063314884 569838920106 1044704686861 1139677840212 2089409373722 3134114060583 4178818747444 6268228121166 12536456242332