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245225323522542 = 2311210316111203549
BaseRepresentation
bin110111110000011111111000…
…010011000110100111101110
31012011021022102102122010002210
4313300133320103012213232
5224120232430310210132
62225314543003231250
7102436642056441336
oct6760377023064756
91164238372563083
10245225323522542
1171155526132400
1223606388818526
13a6aa8584b891c
14447ad7cc880c6
151d53d17c2cbcc
hexdf07f84c69ee

245225323522542 has 96 divisors (see below), whose sum is σ = 544360728038400. Its totient is φ = 73584311803200.

The previous prime is 245225323522537. The next prime is 245225323522639.

245225323522542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 245225323522491 and 245225323522500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204646584 + ... + 1204850132.

It is an arithmetic number, because the mean of its divisors is an integer number (5670424250400).

Almost surely, 2245225323522542 is an apocalyptic number.

245225323522542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245225323522542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272180364019200).

245225323522542 is an abundant number, since it is smaller than the sum of its proper divisors (299135404515858).

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

245225323522542 is a wasteful number, since it uses less digits than its factorization.

245225323522542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219790 (or 219779 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 48.

The spelling of 245225323522542 in words is "two hundred forty-five trillion, two hundred twenty-five billion, three hundred twenty-three million, five hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 1133 2266 3399 6798 12463 16111 24926 32222 37389 48333 74778 96666 177221 203549 354442 407098 531663 610647 1063326 1221294 1659433 1949431 2239039 3318866 3898862 4478078 4978299 5848293 6717117 9956598 11696586 13434234 18253763 20965547 24629429 36507526 41931094 49258858 54761289 62896641 73888287 109522578 125793282 147776574 200791393 230621017 401582786 461242034 602374179 691863051 1204748358 1383726102 2536831187 3279377939 5073662374 6558755878 7610493561 9838133817 15220987122 19676267634 36073157329 72146314658 108219471987 216438943974 337775927717 396804730619 675551855434 793609461238 1013327783151 1190414191857 2026655566302 2380828383714 3715535204887 7431070409774 11146605614661 22293211229322 40870887253757 81741774507514 122612661761271 245225323522542