Search a number
-
+
25378306416 = 24321392415261
BaseRepresentation
bin10111101000101010…
…100011100101110000
32102111122202112122200
4113220222203211300
5403433321301131
615354133103200
71555620021351
oct275052434560
972448675580
1025378306416
11a843435261
124b03187b00
132515a20878
14132a701d28
159d7eed2e6
hex5e8aa3970

25378306416 has 120 divisors (see below), whose sum is σ = 71845453680. Its totient is φ = 8362137600.

The previous prime is 25378306411. The next prime is 25378306423. The reversal of 25378306416 is 61460387352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25378306411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4821226 + ... + 4826486.

It is an arithmetic number, because the mean of its divisors is an integer number (598712114).

Almost surely, 225378306416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25378306416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35922726840).

25378306416 is an abundant number, since it is smaller than the sum of its proper divisors (46467147264).

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

25378306416 is a wasteful number, since it uses less digits than its factorization.

25378306416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25378306416 in words is "twenty-five billion, three hundred seventy-eight million, three hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 241 278 417 482 556 723 834 964 1112 1251 1446 1668 1928 2169 2224 2502 2892 3336 3856 4338 5004 5261 5784 6672 8676 10008 10522 11568 15783 17352 20016 21044 31566 33499 34704 42088 47349 63132 66998 84176 94698 100497 126264 133996 189396 200994 252528 267992 301491 378792 401988 535984 602982 731279 757584 803976 1205964 1267901 1462558 1607952 2193837 2411928 2535802 2925116 3803703 4387674 4823856 5071604 5850232 6581511 7607406 8775348 10143208 11411109 11700464 13163022 15214812 17550696 20286416 22822218 26326044 30429624 35101392 45644436 52652088 60859248 91288872 105304176 176238239 182577744 352476478 528714717 704952956 1057429434 1409905912 1586144151 2114858868 2819811824 3172288302 4229717736 6344576604 8459435472 12689153208 25378306416