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12364241302448 = 24736136933761
BaseRepresentation
bin1011001111101100011000…
…1101011111001110110000
31121210000021020100102110122
42303323012031133032300
53110033431233134243
642144015401145412
72414200266005000
oct263730615371660
947700236312418
1012364241302448
113a377109754a2
12147833348b268
136b8c34885999
1430a60a9bc000
1516695036e668
hexb3ec635f3b0

12364241302448 has 80 divisors (see below), whose sum is σ = 28394676225600. Its totient is φ = 5212092211200.

The previous prime is 12364241302447. The next prime is 12364241302451. The reversal of 12364241302448 is 84420314246321.

It is a super-2 number, since 2×123642413024482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12364241302399 and 12364241302408.

It is not an unprimeable number, because it can be changed into a prime (12364241302447) 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, 18132113 + ... + 18801648.

It is an arithmetic number, because the mean of its divisors is an integer number (354933452820).

Almost surely, 212364241302448 is an apocalyptic number.

It is an amenable number.

12364241302448 is an abundant number, since it is smaller than the sum of its proper divisors (16030434923152).

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

12364241302448 is an equidigital number, since it uses as much as digits as its factorization.

12364241302448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36933851 (or 36933831 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

Adding to 12364241302448 its reverse (84420314246321), we get a palindrome (96784555548769).

The spelling of 12364241302448 in words is "twelve trillion, three hundred sixty-four billion, two hundred forty-one million, three hundred two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 343 392 427 488 686 784 854 976 1372 1708 2744 2989 3416 5488 5978 6832 11956 20923 23912 41846 47824 83692 167384 334768 36933761 73867522 147735044 258536327 295470088 517072654 590940176 1034145308 1809754289 2068290616 2252959421 3619508578 4136581232 4505918842 7239017156 9011837684 12668280023 14478034312 15770715947 18023675368 25336560046 28956068624 31541431894 36047350736 50673120092 63082863788 101346240184 110395011629 126165727576 202692480368 220790023258 252331455152 441580046516 772765081403 883160093032 1545530162806 1766320186064 3091060325612 6182120651224 12364241302448