Search a number
-
+
12421465504 = 257215535101
BaseRepresentation
bin10111001000110000…
…01000010110100000
31012001200011211022221
423210120020112200
5200414343344004
65412323040424
7616546500100
oct134430102640
935050154287
1012421465504
1152a4658978
1224a7b10114
13122c5805b6
1485b9ad200
154ca774354
hex2e46085a0

12421465504 has 72 divisors (see below), whose sum is σ = 28471272228. Its totient is φ = 5319014400.

The previous prime is 12421465499. The next prime is 12421465523. The reversal of 12421465504 is 40556412421.

It can be written as a sum of positive squares in 2 ways, for example, as 8306499600 + 4114965904 = 91140^2 + 64148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12421465504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2432554 + ... + 2437654.

Almost surely, 212421465504 is an apocalyptic number.

12421465504 is a gapful number since it is divisible by the number (14) 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 12421465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235636114).

12421465504 is an abundant number, since it is smaller than the sum of its proper divisors (16049806724).

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

12421465504 is a wasteful number, since it uses less digits than its factorization.

12421465504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 12421465504 its reverse (40556412421), we get a palindrome (52977877925).

The spelling of 12421465504 in words is "twelve billion, four hundred twenty-one million, four hundred sixty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1553 1568 3106 5101 6212 10202 10871 12424 20404 21742 24848 35707 40808 43484 49696 71414 76097 81616 86968 142828 152194 163232 173936 249949 285656 304388 347872 499898 571312 608776 999796 1142624 1217552 1999592 2435104 3999184 7921853 7998368 15843706 31687412 55452971 63374824 110905942 126749648 221811884 253499296 388170797 443623768 776341594 887247536 1552683188 1774495072 3105366376 6210732752 12421465504