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25067276052 = 223713101227281
BaseRepresentation
bin10111010110001000…
…000100011100010100
32101200222111120012120
4113112020010130110
5402314210313202
615303222415540
71545122221320
oct272610043424
971628446176
1025067276052
11a6a3907575
124a36b915b0
132496460230
1412db29a980
159baa610bc
hex5d6204714

25067276052 has 96 divisors (see below), whose sum is σ = 72701147904. Its totient is φ = 6545664000.

The previous prime is 25067276051. The next prime is 25067276071.

25067276052 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 25067275995 and 25067276013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25067276051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3349 + ... + 223932.

It is an arithmetic number, because the mean of its divisors is an integer number (757303624).

Almost surely, 225067276052 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 25067276052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36350573952).

25067276052 is an abundant number, since it is smaller than the sum of its proper divisors (47633871852).

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

25067276052 is a wasteful number, since it uses less digits than its factorization.

25067276052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227409 (or 227407 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 25067276052 in words is "twenty-five billion, sixty-seven million, two hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 101 156 182 202 273 303 364 404 546 606 707 1092 1212 1313 1414 2121 2626 2828 3939 4242 5252 7878 8484 9191 15756 18382 27573 36764 55146 110292 227281 454562 681843 909124 1363686 1590967 2727372 2954653 3181934 4772901 5909306 6363868 8863959 9545802 11818612 17727918 19091604 20682571 22955381 35455836 41365142 45910762 62047713 68866143 82730284 91821524 124095426 137732286 160687667 248190852 275464572 298419953 321375334 482063001 596839906 642750668 895259859 964126002 1193679812 1790519718 1928252004 2088939671 3581039436 4177879342 6266819013 8355758684 12533638026 25067276052