Search a number
-
+
8413387541056 = 2653268412
BaseRepresentation
bin111101001101110010011…
…1110011100101001000000
31002210022102102222022201001
41322123210332130221000
52100321104202303211
625521020141421344
71525563405066211
oct172334476345100
932708372868631
108413387541056
112754108a26353
12b3a6a256a854
134904c09a2914
142112d284b408
15e8cb8d12ac1
hex7a6e4f9ca40

8413387541056 has 63 divisors (see below), whose sum is σ = 17018753128923. Its totient is φ = 4126718868480.

The previous prime is 8413387541033. The next prime is 8413387541087. The reversal of 8413387541056 is 6501457833148.

The square root of 8413387541056 is 2900584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1939334760000 + 6474052781056 = 1392600^2 + 2544416^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8413387540988 and 8413387541006.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1229844196 + ... + 1229851036.

Almost surely, 28413387541056 is an apocalyptic number.

8413387541056 is the 2900584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8413387541056

8413387541056 is an abundant number, since it is smaller than the sum of its proper divisors (8605365587867).

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

8413387541056 is an frugal number, since it uses more digits than its factorization.

8413387541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13800 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 8413387541056 in words is "eight trillion, four hundred thirteen billion, three hundred eighty-seven million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 6841 11236 13682 22472 27364 44944 54728 89888 109456 179776 218912 362573 437824 725146 1450292 2900584 5801168 11602336 19216369 23204672 38432738 46799281 76865476 93598562 153730952 187197124 307461904 374394248 614923808 748788496 1229847616 1497576992 2480361893 2995153984 4960723786 9921447572 19842895144 39685790288 79371580576 131459180329 158743161152 262918360658 525836721316 1051673442632 2103346885264 4206693770528 8413387541056