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2525013054 = 233314767479
BaseRepresentation
bin1001011010000000…
…1010010000111110
320111222020221202000
42112200022100332
520132400404204
61054315443130
7116400154044
oct22640122076
96458227660
102525013054
111086338753
125a57564a6
13313179585
1419d4c2394
15eba1c039
hex9680a43e

2525013054 has 128 divisors (see below), whose sum is σ = 6016204800. Its totient is φ = 783652320.

The previous prime is 2525013053. The next prime is 2525013059. The reversal of 2525013054 is 4503105252.

It is a happy number.

2525013054 is a `hidden beast` number, since 2 + 525 + 0 + 130 + 5 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525013053) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5271187 + ... + 5271665.

It is an arithmetic number, because the mean of its divisors is an integer number (47001600).

Almost surely, 22525013054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525013054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008102400).

2525013054 is an abundant number, since it is smaller than the sum of its proper divisors (3491191746).

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

2525013054 is a wasteful number, since it uses less digits than its factorization.

2525013054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2525013054 is about 50249.5079975914. The cubic root of 2525013054 is about 1361.7201874292.

The spelling of 2525013054 in words is "two billion, five hundred twenty-five million, thirteen thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 67 93 94 134 141 186 201 279 282 402 423 479 558 603 837 846 958 1206 1269 1437 1457 1674 1809 2077 2538 2874 2914 3149 3618 4154 4311 4371 6231 6298 8622 8742 9447 12462 12933 13113 14849 18693 18894 22513 25866 26226 28341 29698 32093 37386 39339 44547 45026 56079 56682 64186 67539 78678 85023 89094 96279 97619 112158 133641 135078 170046 192558 195238 202617 267282 288837 292857 400923 405234 577674 585714 607851 697903 801846 866511 878571 994883 1215702 1395806 1508371 1733022 1757142 1989766 2093709 2635713 2984649 3016742 4187418 4525113 5271426 5969298 6281127 8953947 9050226 12562254 13575339 17907894 18843381 26861841 27150678 37686762 40726017 46759501 53723682 81452034 93519002 140278503 280557006 420835509 841671018 1262506527 2525013054