Search a number
-
+
26115852816 = 2434674
BaseRepresentation
bin11000010100101000…
…000100101000010000
32111102001120210010000
4120110220010220100
5411441124242231
615555241210000
71613114041404
oct302450045020
974361523100
1026115852816
1110091799839
12508a190900
132602777a61
14139a651104
15a2cb3a6e6
hex614a04a10

26115852816 has 125 divisors (see below), whose sum is σ = 76732110191. Its totient is φ = 8575354656.

The previous prime is 26115852769. The next prime is 26115852839. The reversal of 26115852816 is 61825851162.

The square root of 26115852816 is 161604.

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

26115852816 is a `hidden beast` number, since 2 + 6 + 115 + 8 + 528 + 1 + 6 = 666.

It is a Duffinian number.

Its product of digits (230400) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 389788815 + ... + 389788881.

Almost surely, 226115852816 is an apocalyptic number.

26115852816 is the 161604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26115852816

26115852816 is an abundant number, since it is smaller than the sum of its proper divisors (50616257375).

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

26115852816 is an frugal number, since it uses more digits than its factorization.

26115852816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 72 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 26115852816 in words is "twenty-six billion, one hundred fifteen million, eight hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 648 804 1072 1206 1296 1608 1809 2412 3216 3618 4489 4824 5427 7236 8978 9648 10854 13467 14472 17956 21708 26934 28944 35912 40401 43416 53868 71824 80802 86832 107736 121203 161604 215472 242406 300763 323208 363609 484812 601526 646416 727218 902289 969624 1203052 1454436 1804578 1939248 2406104 2706867 2908872 3609156 4812208 5413734 5817744 7218312 8120601 10827468 14436624 16241202 20151121 21654936 24361803 32482404 40302242 43309872 48723606 60453363 64964808 80604484 97447212 120906726 129929616 161208968 181360089 194894424 241813452 322417936 362720178 389788848 483626904 544080267 725440356 967253808 1088160534 1450880712 1632240801 2176321068 2901761424 3264481602 4352642136 6528963204 8705284272 13057926408 26115852816