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25468236672 = 273479111549
BaseRepresentation
bin10111101110000001…
…100111001110000000
32102201220222110202220
4113232001213032000
5404124332033142
615411104411040
71561061303604
oct275601471600
972656873686
1025468236672
11a88a17918a
124b29316a80
13252b549b38
141338631504
159e0d642ec
hex5ee067380

25468236672 has 128 divisors (see below), whose sum is σ = 69209856000. Its totient is φ = 8294307840.

The previous prime is 25468236667. The next prime is 25468236679. The reversal of 25468236672 is 27663286452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25468236679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16440954 + ... + 16442502.

It is an arithmetic number, because the mean of its divisors is an integer number (540702000).

Almost surely, 225468236672 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 25468236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34604928000).

25468236672 is an abundant number, since it is smaller than the sum of its proper divisors (43741619328).

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

25468236672 is a wasteful number, since it uses less digits than its factorization.

25468236672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2512 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 25468236672 in words is "twenty-five billion, four hundred sixty-eight million, two hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 911 1128 1504 1549 1822 2256 2733 3008 3098 3644 4512 4647 5466 6016 6196 7288 9024 9294 10932 12392 14576 18048 18588 21864 24784 29152 37176 42817 43728 49568 58304 72803 74352 85634 87456 99136 116608 128451 145606 148704 171268 174912 198272 218409 256902 291212 297408 342536 349824 436818 513804 582424 594816 685072 873636 1027608 1164848 1370144 1411139 1747272 2055216 2329696 2740288 2822278 3494544 4110432 4233417 4659392 5480576 5644556 6989088 8220864 8466834 9318784 11289112 13978176 16441728 16933668 22578224 27956352 33867336 45156448 66323533 67734672 90312896 132647066 135469344 180625792 198970599 265294132 270938688 397941198 530588264 541877376 795882396 1061176528 1591764792 2122353056 3183529584 4244706112 6367059168 8489412224 12734118336 25468236672