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25164243468 = 223271324131873
BaseRepresentation
bin10111011011111001…
…111110001000001100
32101221201222000111100
4113123321332020030
5403014021242333
615321005023100
71550410353210
oct273371761014
971851860440
1025164243468
11a743617631
124a63554a90
1324b05815c0
14130a0dc940
159c4317213
hex5dbe7e20c

25164243468 has 144 divisors (see below), whose sum is σ = 78616073536. Its totient is φ = 6608977920.

The previous prime is 25164243463. The next prime is 25164243479. The reversal of 25164243468 is 86434246152.

25164243468 is a `hidden beast` number, since 2 + 5 + 164 + 24 + 3 + 468 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25164243463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773580 + ... + 805452.

Almost surely, 225164243468 is an apocalyptic number.

25164243468 is a gapful number since it is divisible by the number (28) 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 25164243468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39308036768).

25164243468 is an abundant number, since it is smaller than the sum of its proper divisors (53451830068).

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

25164243468 is a wasteful number, since it uses less digits than its factorization.

25164243468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32144 (or 32139 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 25164243468 in words is "twenty-five billion, one hundred sixty-four million, two hundred forty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 241 252 273 364 468 482 546 723 819 964 1092 1446 1638 1687 2169 2892 3133 3276 3374 4338 5061 6266 6748 8676 9399 10122 12532 15183 18798 20244 21931 28197 30366 31873 37596 43862 56394 60732 63746 65793 87724 95619 112788 127492 131586 191238 197379 223111 263172 286857 382476 394758 414349 446222 573714 669333 789516 828698 892444 1147428 1243047 1338666 1657396 2007999 2486094 2677332 2900443 3729141 4015998 4972188 5800886 7458282 7681393 8031996 8701329 11601772 14916564 15362786 17402658 23044179 26103987 30725572 34805316 46088358 52207974 53769751 69132537 92176716 99858109 104415948 107539502 138265074 161309253 199716218 215079004 276530148 299574327 322618506 399432436 483927759 599148654 645237012 699006763 898722981 967855518 1198297308 1398013526 1797445962 1935711036 2097020289 2796027052 3594891924 4194040578 6291060867 8388081156 12582121734 25164243468