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25799981440 = 275194151749
BaseRepresentation
bin11000000001110011…
…000111100110000000
32110121001012212001011
4120001303013212000
5410314243401230
615504035050304
71602230136532
oct300163074600
973531185034
1025799981440
11aa3a464a12
125000440994
1325821b0b0c
14136a709852
15a10043e2a
hex601cc7980

25799981440 has 128 divisors (see below), whose sum is σ = 66509100000. Its totient is φ = 9538191360.

The previous prime is 25799981437. The next prime is 25799981453. The reversal of 25799981440 is 4418999752.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472686 + ... + 524434.

Almost surely, 225799981440 is an apocalyptic number.

25799981440 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 25799981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33254550000).

25799981440 is an abundant number, since it is smaller than the sum of its proper divisors (40709118560).

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

25799981440 is a wasteful number, since it uses less digits than its factorization.

25799981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51828 (or 51816 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 25799981440 in words is "twenty-five billion, seven hundred ninety-nine million, nine hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 304 320 328 380 410 608 640 656 760 779 820 1216 1312 1520 1558 1640 2432 2624 3040 3116 3280 3895 5248 6080 6232 6560 7790 12160 12464 13120 15580 24928 26240 31160 49856 51749 62320 99712 103498 124640 206996 249280 258745 413992 498560 517490 827984 983231 1034980 1655968 1966462 2069960 2121709 3311936 3932924 4139920 4243418 4916155 6623872 7865848 8279840 8486836 9832310 10608545 15731696 16559680 16973672 19664620 21217090 31463392 33119360 33947344 39329240 40312471 42434180 62926784 67894688 78658480 80624942 84868360 125853568 135789376 157316960 161249884 169736720 201562355 271578752 314633920 322499768 339473440 403124710 629267840 644999536 678946880 806249420 1289999072 1357893760 1612498840 2579998144 3224997680 5159996288 6449995360 12899990720 25799981440