Search a number
-
+
12643615002640 = 245204797717427
BaseRepresentation
bin1011011111111101001000…
…1011100101000000010000
31122202201101021020212010211
42313333102023211000100
53124123110420041030
642520221353133504
72443320365166436
oct267772213450020
948681337225124
1012643615002640
114035144061426
1215025010ba294
1370939833335b
14319d505a6d56
1516dd51cec12a
hexb7fd22e5010

12643615002640 has 40 divisors (see below), whose sum is σ = 29397844131840. Its totient is φ = 5057198388096.

The previous prime is 12643615002619. The next prime is 12643615002647. The reversal of 12643615002640 is 4620051634621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126436150026402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12643615002593 and 12643615002602.

It is not an unprimeable number, because it can be changed into a prime (12643615002647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220394 + ... + 5497033.

It is an arithmetic number, because the mean of its divisors is an integer number (734946103296).

Almost surely, 212643615002640 is an apocalyptic number.

12643615002640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12643615002640 is an abundant number, since it is smaller than the sum of its proper divisors (16754229129200).

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

12643615002640 is a wasteful number, since it uses less digits than its factorization.

12643615002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737919 (or 7737913 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 12643615002640 in words is "twelve trillion, six hundred forty-three billion, six hundred fifteen million, two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 20479 40958 81916 102395 163832 204790 327664 409580 819160 1638320 7717427 15434854 30869708 38587135 61739416 77174270 123478832 154348540 308697080 617394160 158045187533 316090375066 632180750132 790225937665 1264361500264 1580451875330 2528723000528 3160903750660 6321807501320 12643615002640