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25468231040 = 275731183383
BaseRepresentation
bin10111101110000001…
…100101110110000000
32102201220222012001022
4113232001211312000
5404124331343130
615411104325012
71561061251310
oct275601456600
972656865038
1025468231040
11a88a174a2a
124b29313768
13252b5473c5
14133862d440
159e0d627e5
hex5ee065d80

25468231040 has 128 divisors (see below), whose sum is σ = 71827845120. Its totient is φ = 8450242560.

The previous prime is 25468231013. The next prime is 25468231043. The reversal of 25468231040 is 4013286452.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25468231043) 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, 47189 + ... + 230571.

It is an arithmetic number, because the mean of its divisors is an integer number (561155040).

Almost surely, 225468231040 is an apocalyptic number.

25468231040 is a gapful number since it is divisible by the number (20) 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 25468231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35913922560).

25468231040 is an abundant number, since it is smaller than the sum of its proper divisors (46359614080).

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

25468231040 is a wasteful number, since it uses less digits than its factorization.

25468231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183440 (or 183428 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 25468231040 in words is "twenty-five billion, four hundred sixty-eight million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 69440 138880 183383 366766 733532 916915 1283681 1467064 1833830 2567362 2934128 3667660 5134724 5684873 5868256 6418405 7335320 10269448 11369746 11736512 12836810 14670640 20538896 22739492 23473024 25673620 28424365 29341280 39794111 41077792 45478984 51347240 56848730 58682560 79588222 82155584 90957968 102694480 113697460 117365120 159176444 164311168 181915936 198970555 205388960 227394920 318352888 363831872 397941110 410777920 454789840 636705776 727663744 795882220 821555840 909579680 1273411552 1591764440 1819159360 2546823104 3183528880 3638318720 5093646208 6367057760 12734115520 25468231040