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25669439664 = 24311792272711
BaseRepresentation
bin10111111010000001…
…001001000010110000
32110020221120122101120
4113322001021002300
5410032334032124
615443053102240
71566053431341
oct277201110260
973227518346
1025669439664
11a982802a50
124b84787980
13256113586b
1413572480c8
15a03859d79
hex5fa0490b0

25669439664 has 160 divisors (see below), whose sum is σ = 73606717440. Its totient is φ = 7643500800.

The previous prime is 25669439657. The next prime is 25669439693. The reversal of 25669439664 is 46693496652.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 25669439598 and 25669439607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9467269 + ... + 9469979.

It is an arithmetic number, because the mean of its divisors is an integer number (460041984).

Almost surely, 225669439664 is an apocalyptic number.

25669439664 is a gapful number since it is divisible by the number (24) 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 25669439664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36803358720).

25669439664 is an abundant number, since it is smaller than the sum of its proper divisors (47937277776).

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

25669439664 is a wasteful number, since it uses less digits than its factorization.

25669439664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3033 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 60.

The spelling of 25669439664 in words is "twenty-five billion, six hundred sixty-nine million, four hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 227 237 264 316 454 474 528 632 681 869 908 948 1264 1362 1738 1816 1896 2497 2607 2711 2724 3476 3632 3792 4994 5214 5422 5448 6952 7491 8133 9988 10428 10844 10896 13904 14982 16266 17933 19976 20856 21688 29821 29964 32532 35866 39952 41712 43376 53799 59642 59928 65064 71732 89463 107598 119284 119856 130128 143464 178926 197263 214169 215196 238568 286928 357852 394526 428338 430392 477136 591789 615397 642507 715704 789052 856676 860784 1183578 1230794 1285014 1431408 1578104 1713352 1846191 2355859 2367156 2461588 2570028 3156208 3426704 3692382 4711718 4734312 4923176 5140056 6769367 7067577 7384764 9423436 9468624 9846352 10280112 13538734 14135154 14769528 18846872 20308101 27077468 28270308 29539056 37693744 40616202 48616363 54154936 56540616 81232404 97232726 108309872 113081232 145849089 162464808 194465452 291698178 324929616 388930904 534779993 583396356 777861808 1069559986 1166792712 1604339979 2139119972 2333585424 3208679958 4278239944 6417359916 8556479888 12834719832 25669439664