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25130301664 = 2513192167339
BaseRepresentation
bin10111011001111000…
…011111100011100000
32101212101002121002111
4113121320133203200
5402431324123124
615313353325104
71546516016416
oct273170374340
971771077074
1025130301664
11a726444656
124a54106794
1324a65293b0
1413057c52b6
159c1360494
hex5d9e1f8e0

25130301664 has 72 divisors (see below), whose sum is σ = 56233268280. Its totient is φ = 10988082432.

The previous prime is 25130301661. The next prime is 25130301671. The reversal of 25130301664 is 46610303152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25130301661) 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 11 ways as a sum of consecutive naturals, for example, 66507 + ... + 233845.

It is an arithmetic number, because the mean of its divisors is an integer number (781017615).

Almost surely, 225130301664 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 25130301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116634140).

25130301664 is an abundant number, since it is smaller than the sum of its proper divisors (31102966616).

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

25130301664 is a wasteful number, since it uses less digits than its factorization.

25130301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167400 (or 167373 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 25130301664 in words is "twenty-five billion, one hundred thirty million, three hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 361 416 494 608 722 988 1444 1976 2888 3952 4693 5776 7904 9386 11552 18772 37544 75088 150176 167339 334678 669356 1338712 2175407 2677424 3179441 4350814 5354848 6358882 8701628 12717764 17403256 25435528 34806512 41332733 50871056 60409379 69613024 82665466 101742112 120818758 165330932 241637516 330661864 483275032 661323728 785321927 966550064 1322647456 1570643854 1933100128 3141287708 6282575416 12565150832 25130301664