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25086077068052 = 227111322732756381
BaseRepresentation
bin1011011010000110011101…
…01101100110001100010100
310021211012112211202202020102
411231003032231212030110
511242002241212134202
6125204215032553232
75166260242546160
oct555031655461424
9107735484682212
1025086077068052
117aa1a4456a870
122991a24552818
1310cc7b7520560
1462a25b8cdca0
152d782e333d02
hex16d0ceb66314

25086077068052 has 96 divisors (see below), whose sum is σ = 58969463180544. Its totient is φ = 9017993318400.

The previous prime is 25086077068009. The next prime is 25086077068067.

It is a happy number.

25086077068052 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×250860770680522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7722902 + ... + 10479282.

It is an arithmetic number, because the mean of its divisors is an integer number (614265241464).

Almost surely, 225086077068052 is an apocalyptic number.

25086077068052 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 25086077068052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484731590272).

25086077068052 is an abundant number, since it is smaller than the sum of its proper divisors (33883386112492).

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

25086077068052 is a wasteful number, since it uses less digits than its factorization.

25086077068052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758689 (or 2758687 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 25086077068052 in words is "twenty-five trillion, eighty-six billion, seventy-seven million, sixty-eight thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2273 4004 4546 9092 15911 25003 29549 31822 50006 59098 63644 100012 118196 175021 206843 325039 350042 413686 650078 700084 827372 1300156 2275273 2756381 4550546 5512762 9101092 11025524 19294667 30320191 35832953 38589334 60640382 71665906 77178668 121280764 143331812 212241337 250830671 394162483 424482674 501661342 788324966 848965348 1003322684 1576649932 2759137381 5518274762 6265254013 11036549524 12530508026 25061016052 43856778091 68917794143 81448302169 87713556182 137835588286 162896604338 175427112364 275671176572 325793208676 482424559001 570138115183 895931323859 964849118002 1140276230366 1791862647718 1929698236004 2280552460732 3583725295436 6271519267013 12543038534026 25086077068052