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25084992213204 = 223721126091486517
BaseRepresentation
bin1011011010000100011100…
…00011001101000011010100
310021211002202020102102011020
411231002032003031003110
511241443031001310304
6125203515240441140
75166221330462100
oct555021603150324
9107732666372136
1025084992213204
117aa153815a310
1229917811791b0
1310cc673843301
1462a1977b4900
152d77b8e905d9
hex16d08e0cd0d4

25084992213204 has 144 divisors (see below), whose sum is σ = 74306159040960. Its totient is φ = 6513080663040.

The previous prime is 25084992213167. The next prime is 25084992213209. The reversal of 25084992213204 is 40231229948052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25084992213209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16131754 + ... + 17618270.

It is an arithmetic number, because the mean of its divisors is an integer number (516014993340).

Almost surely, 225084992213204 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 25084992213204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37153079520480).

25084992213204 is an abundant number, since it is smaller than the sum of its proper divisors (49221166827756).

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

25084992213204 is a wasteful number, since it uses less digits than its factorization.

25084992213204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489158 (or 1489149 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 25084992213204 in words is "twenty-five trillion, eighty-four billion, nine hundred ninety-two million, two hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 2609 3234 5218 6468 7827 10436 15654 18263 28699 31308 36526 54789 57398 73052 86097 109578 114796 127841 172194 200893 219156 255682 344388 383523 401786 511364 602679 767046 803572 1205358 1406251 1486517 1534092 2410716 2812502 2973034 4218753 4459551 5625004 5946068 8437506 8919102 10405619 16351687 16875012 17838204 20811238 31216857 32703374 41622476 49055061 62433714 65406748 72839333 98110122 114461809 124867428 145678666 196220244 218517999 228923618 291357332 343385427 437035998 457847236 686770854 801232663 874071996 1373541708 1602465326 2403697989 3204930652 3878322853 4807395978 7756645706 9614791956 11634968559 15513291412 23269937118 27148259971 42661551383 46539874236 54296519942 81444779913 85323102766 108593039884 127984654149 162889559826 170646205532 190037819797 255969308298 298630859681 325779119652 380075639594 511938616596 570113459391 597261719362 760151279188 895892579043 1140226918782 1194523438724 1791785158086 2090416017767 2280453837564 3583570316172 4180832035534 6271248053301 8361664071068 12542496106602 25084992213204