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25424242544120 = 2357523547731699
BaseRepresentation
bin1011100011111100010101…
…11100100000110111111000
310100000112102011202211202012
411301332022330200313320
511313022322042402440
6130023422532425052
75232561300635210
oct561761274406770
9110015364684665
1025424242544120
1181123a7120122
122a2747b478188
13112565a3144a4
1463c77b6db240
152e1522401e65
hex171f8af20df8

25424242544120 has 128 divisors (see below), whose sum is σ = 65515652928000. Its totient is φ = 8698353163776.

The previous prime is 25424242544117. The next prime is 25424242544159. The reversal of 25424242544120 is 2144524242452.

It is a congruent number.

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, 802036031 + ... + 802067729.

It is an arithmetic number, because the mean of its divisors is an integer number (511841038500).

Almost surely, 225424242544120 is an apocalyptic number.

25424242544120 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 25424242544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32757826464000).

25424242544120 is an abundant number, since it is smaller than the sum of its proper divisors (40091410383880).

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

25424242544120 is a wasteful number, since it uses less digits than its factorization.

25424242544120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37717 (or 37713 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 41.

Adding to 25424242544120 its reverse (2144524242452), we get a palindrome (27568766786572).

The spelling of 25424242544120 in words is "twenty-five trillion, four hundred twenty-four billion, two hundred forty-two million, five hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 523 1046 2092 2615 3661 4184 5230 5477 7322 10460 10954 14644 18305 20920 21908 27385 29288 31699 36610 38339 43816 54770 63398 73220 76678 109540 126796 146440 153356 158495 191695 219080 221893 253592 306712 316990 383390 443786 633980 766780 887572 1109465 1267960 1533560 1775144 2218930 2864471 4437860 5728942 8875720 11457884 14322355 16578577 20051297 22915768 28644710 33157154 40102594 57289420 66314308 80205188 82892885 100256485 114578840 116050039 132628616 160410376 165785770 173615423 200512970 232100078 331571540 347230846 401025940 464200156 580250195 663143080 694461692 802051880 868077115 928400312 1160500390 1215307961 1388923384 1736154230 2321000780 2430615922 3472308460 4642001560 4861231844 6076539805 6944616920 9722463688 12153079610 24306159220 48612318440 90800866229 181601732458 363203464916 454004331145 635606063603 726406929832 908008662290 1271212127206 1816017324580 2542424254412 3178030318015 3632034649160 5084848508824 6356060636030 12712121272060 25424242544120