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13025222252032 = 2959490387943
BaseRepresentation
bin1011110110001010101110…
…1111101101011000000000
31201010012101010121200120011
42331202223233231120000
53201401123344031112
643411412100554304
72513020102246024
oct275425357553000
951105333550504
1013025222252032
114171a69437a91
1215644606b2994
1373637226a3c3
143305d1b04384
15178c38b0baa7
hexbd8abbed600

13025222252032 has 80 divisors (see below), whose sum is σ = 26471805338880. Its totient is φ = 6400849324032.

The previous prime is 13025222251967. The next prime is 13025222252177. The reversal of 13025222252032 is 23025222252031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13025222251985 and 13025222252003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148065853 + ... + 148153795.

It is an arithmetic number, because the mean of its divisors is an integer number (330897566736).

Almost surely, 213025222252032 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 13025222252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13235902669440).

13025222252032 is an abundant number, since it is smaller than the sum of its proper divisors (13446583086848).

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

13025222252032 is an frugal number, since it uses more digits than its factorization.

13025222252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92923 (or 92907 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Subtracting 13025222252032 from its reverse (23025222252031), we obtain a palindrome (9999999999999).

The spelling of 13025222252032 in words is "thirteen trillion, twenty-five billion, two hundred twenty-two million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1888 3776 4903 7552 9806 15104 19612 30208 39224 78448 87943 156896 175886 289277 313792 351772 578554 627584 703544 1157108 1255168 1407088 2314216 2510336 2814176 4628432 5188637 5628352 9256864 10377274 11256704 18513728 20754548 22513408 37027456 41509096 45026816 74054912 83018192 148109824 166036384 332072768 431184529 664145536 862369058 1328291072 1724738116 2656582144 3449476232 6898952464 13797904928 25439887211 27595809856 50879774422 55191619712 101759548844 110383239424 203519097688 220766478848 407038195376 814076390752 1628152781504 3256305563008 6512611126016 13025222252032