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10733354368 = 271132512
BaseRepresentation
bin10011111111100000…
…11111110110000000
31000201000200220012021
421333300133312000
5133440214314433
64533021011224
7526661002222
oct117760376600
930630626167
1010733354368
114608776000
1220b66b3b14
131020907579
1473b700412
1542c46d22d
hex27fc1fd80

10733354368 has 96 divisors (see below), whose sum is σ = 23613609960. Its totient is φ = 4859360000.

The previous prime is 10733354339. The next prime is 10733354389. The reversal of 10733354368 is 86345333701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42762243 + ... + 42762493.

Almost surely, 210733354368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10733354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806804980).

10733354368 is an abundant number, since it is smaller than the sum of its proper divisors (12880255592).

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

10733354368 is an frugal number, since it uses more digits than its factorization.

10733354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 10733354368 in words is "ten billion, seven hundred thirty-three million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 251 352 484 502 704 968 1004 1331 1408 1936 2008 2662 2761 3872 4016 5324 5522 7744 8032 10648 11044 15488 16064 21296 22088 30371 32128 42592 44176 60742 63001 85184 88352 121484 126002 170368 176704 242968 252004 334081 353408 485936 504008 668162 693011 971872 1008016 1336324 1386022 1943744 2016032 2672648 2772044 3887488 4032064 5345296 5544088 7623121 8064128 10690592 11088176 15246242 21381184 22176352 30492484 42762368 44352704 60984968 83854331 88705408 121969936 167708662 243939872 335417324 487879744 670834648 975759488 1341669296 2683338592 5366677184 10733354368