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234653457632 = 25115919358543
BaseRepresentation
bin1101101010001001101…
…1111001110011100000
3211102200101212201200012
43122202123321303200
512321032241121012
6255444233544052
722644634323506
oct3324233716340
9742611781605
10234653457632
1190574839890
1239588b75028
13191877ca6a9
14b500580676
1561858a0622
hex36a26f9ce0

234653457632 has 96 divisors (see below), whose sum is σ = 515177832960. Its totient is φ = 104307793920.

The previous prime is 234653457613. The next prime is 234653457641. The reversal of 234653457632 is 236754356432.

234653457632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3978953 + ... + 4037495.

It is an arithmetic number, because the mean of its divisors is an integer number (5366435760).

Almost surely, 2234653457632 is an apocalyptic number.

234653457632 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 234653457632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257588916480).

234653457632 is an abundant number, since it is smaller than the sum of its proper divisors (280524375328).

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

234653457632 is a wasteful number, since it uses less digits than its factorization.

234653457632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58816 (or 58808 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 50.

The spelling of 234653457632 in words is "two hundred thirty-four billion, six hundred fifty-three million, four hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 193 236 352 386 472 649 772 944 1298 1544 1888 2123 2596 3088 4246 5192 6176 8492 10384 11387 16984 20768 22774 33968 45548 58543 67936 91096 117086 125257 182192 234172 250514 364384 468344 501028 643973 936688 1002056 1287946 1873376 2004112 2575892 3454037 4008224 5151784 6908074 10303568 11298799 13816148 20607136 22597598 27632296 37994407 45195196 55264592 75988814 90390392 110529184 124286789 151977628 180780784 248573578 303955256 361561568 497147156 607910512 666629141 994294312 1215821024 1333258282 1988588624 2666516564 3977177248 5333033128 7332920551 10666066256 14665841102 21332132512 29331682204 58663364408 117326728816 234653457632