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25940404952 = 2371126316067
BaseRepresentation
bin11000001010001010…
…110010101011011000
32110221211110002212222
4120022022302223120
5411111220424302
615530012523212
71605553542530
oct301212625330
973854402788
1025940404952
1110001756200
12503b480508
1325a5308b57
1413812204c0
15a1c530da2
hex60a2b2ad8

25940404952 has 96 divisors (see below), whose sum is σ = 61206216960. Its totient is φ = 10088971200.

The previous prime is 25940404927. The next prime is 25940404961.

25940404952 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×259404049522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4272623 + ... + 4278689.

It is an arithmetic number, because the mean of its divisors is an integer number (637564760).

Almost surely, 225940404952 is an apocalyptic number.

25940404952 is a gapful number since it is divisible by the number (22) 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 25940404952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30603108480).

25940404952 is an abundant number, since it is smaller than the sum of its proper divisors (35265812008).

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

25940404952 is a wasteful number, since it uses less digits than its factorization.

25940404952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 25940404952 in words is "twenty-five billion, nine hundred forty million, four hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 631 847 968 1262 1694 2524 3388 4417 5048 6067 6776 6941 8834 12134 13882 17668 24268 27764 35336 42469 48536 48587 55528 66737 76351 84938 97174 133474 152702 169876 194348 266948 305404 339752 388696 467159 533896 534457 610808 734107 934318 1068914 1468214 1868636 2137828 2936428 3737272 3828277 4275656 5138749 5872856 7656554 10277498 15313108 20554996 26797939 30626216 41109992 42111047 53595878 84222094 107191756 168444188 214383512 294777329 336888376 463221517 589554658 926443034 1179109316 1852886068 2358218632 3242550619 3705772136 6485101238 12970202476 25940404952