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52641155114625 = 3537111823070307
BaseRepresentation
bin10111111100000011110010…
…10110011110011010000001
320220101110000121110121110210
423332001321112132122001
523344433041202132000
6303543002433344333
714042124616450140
oct1376017126363201
9226343017417423
1052641155114625
1115855a9678a1a0
125aa22604080a9
13234b0690a417c
14cddbba0b3757
156144b5ab3350
hex2fe07959e681

52641155114625 has 64 divisors (see below), whose sum is σ = 109209203730432. Its totient is φ = 21876843672000.

The previous prime is 52641155114543. The next prime is 52641155114633.

52641155114625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52641155114625 - 215 = 52641155081857 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911506279 + ... + 911564028.

It is an arithmetic number, because the mean of its divisors is an integer number (1706393808288).

Almost surely, 252641155114625 is an apocalyptic number.

52641155114625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52641155114625 is an abundant number, since it is smaller than the sum of its proper divisors (56568048615807).

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

52641155114625 is a wasteful number, since it uses less digits than its factorization.

52641155114625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823070343 (or 1823070333 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 48.

The spelling of 52641155114625 in words is "fifty-two trillion, six hundred forty-one billion, one hundred fifty-five million, one hundred fourteen thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 825 875 1155 1375 1925 2625 4125 5775 9625 28875 1823070307 5469210921 9115351535 12761492149 20053773377 27346054605 38284476447 45576757675 60161320131 63807460745 100268866885 136730273025 140376413639 191422382235 227883788375 300806600655 319037303725 421129240917 501344334425 683651365125 701882068195 957111911175 1504033003275 1595186518625 2105646204585 2506721672125 3509410340975 4785559555875 7520165016375 10528231022925 17547051704875 52641155114625