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254213457056 = 25131765954547
BaseRepresentation
bin1110110011000001001…
…1011000010010100000
3220022011120110122121022
43230300103120102200
513131112121111211
6312441204345012
724236434506056
oct3546023302240
9808146418538
10254213457056
11988a1961969
12413276a5168
131ac83c99b50
14c43824c1d6
15692cba5bdb
hex3b304d84a0

254213457056 has 96 divisors (see below), whose sum is σ = 571562671680. Its totient is φ = 110257975296.

The previous prime is 254213457053. The next prime is 254213457067. The reversal of 254213457056 is 650754312452.

It is a junction number, because it is equal to n+sod(n) for n = 254213456998 and 254213457016.

It is not an unprimeable number, because it can be changed into a prime (254213457053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4633175 + ... + 4687721.

It is an arithmetic number, because the mean of its divisors is an integer number (5953777830).

Almost surely, 2254213457056 is an apocalyptic number.

254213457056 is a gapful number since it is divisible by the number (26) 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 254213457056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285781335840).

254213457056 is an abundant number, since it is smaller than the sum of its proper divisors (317349214624).

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

254213457056 is a wasteful number, since it uses less digits than its factorization.

254213457056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55246 (or 55238 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 254213457056 in words is "two hundred fifty-four billion, two hundred thirteen million, four hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 659 884 1318 1768 2636 3536 5272 7072 8567 10544 11203 17134 21088 22406 34268 44812 54547 68536 89624 109094 137072 145639 179248 218188 274144 291278 358496 436376 582556 709111 872752 927299 1165112 1418222 1745504 1854598 2330224 2836444 3709196 4660448 5672888 7418392 11345776 12054887 14836784 22691552 24109774 29673568 35946473 48219548 71892946 96439096 143785892 192878192 287571784 385756384 467304149 575143568 611090041 934608298 1150287136 1222180082 1869216596 2444360164 3738433192 4888720328 7476866384 7944170533 9777440656 14953732768 15888341066 19554881312 31776682132 63553364264 127106728528 254213457056