Search a number
-
+
12320016074541 = 3278531180719417
BaseRepresentation
bin1011001101000111101000…
…1011101000011100101101
31121121210010002210001220200
42303101322023220130231
53103322343103341131
642111423125104113
72411043324531330
oct263217213503455
947553102701820
1012320016074541
113a1a98698a16a
12146b850558039
136b4a07333886
143084131cc617
151657129732e6
hexb347a2e872d

12320016074541 has 48 divisors (see below), whose sum is σ = 20364420271104. Its totient is φ = 7030798278912.

The previous prime is 12320016074539. The next prime is 12320016074567. The reversal of 12320016074541 is 14547061002321.

12320016074541 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 0 + 1 + 607 + 4 + 5 + 41 = 666.

It is not a de Polignac number, because 12320016074541 - 21 = 12320016074539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12320016074496 and 12320016074505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320016074591) 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 47 ways as a sum of consecutive naturals, for example, 634486665 + ... + 634506081.

It is an arithmetic number, because the mean of its divisors is an integer number (424258755648).

Almost surely, 212320016074541 is an apocalyptic number.

It is an amenable number.

12320016074541 is a deficient number, since it is larger than the sum of its proper divisors (8044404196563).

12320016074541 is a wasteful number, since it uses less digits than its factorization.

12320016074541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32090 (or 32087 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12320016074541 its reverse (14547061002321), we get a palindrome (26867077076862).

The spelling of 12320016074541 in words is "twelve trillion, three hundred twenty billion, sixteen million, seventy-four thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 63 853 2559 5971 7677 11807 17913 19417 35421 53739 58251 82649 106263 135919 174753 247947 407757 743841 1223271 10071371 16562701 30214113 49688103 70499597 90642339 115938907 149064309 211498791 229256519 347816721 634496373 687769557 1043450163 1604795633 2063308671 4814386899 14443160697 195555810707 586667432121 1368890674949 1760002296363 4106672024847 12320016074541