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236133796096 = 281142512
BaseRepresentation
bin1101101111101010101…
…0111100100100000000
3211120111120101201021201
43123322222330210000
512332100222433341
6300251154430544
723026421102212
oct3337252744400
9746446351251
10236133796096
1191164410000
1239920892454
13193623c7603
14b6010065b2
156220814331
hex36faabc900

236133796096 has 135 divisors (see below), whose sum is σ = 520550367715. Its totient is φ = 106905920000.

The previous prime is 236133795983. The next prime is 236133796103. The reversal of 236133796096 is 690697331632.

The square root of 236133796096 is 485936.

It is a perfect power (a square), and thus also a powerful number.

236133796096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 940771971 + ... + 940772221.

Almost surely, 2236133796096 is an apocalyptic number.

236133796096 is the 485936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236133796096

236133796096 is an abundant number, since it is smaller than the sum of its proper divisors (284416571619).

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

236133796096 is an frugal number, since it uses more digits than its factorization.

236133796096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 55.

The spelling of 236133796096 in words is "two hundred thirty-six billion, one hundred thirty-three million, seven hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 251 256 352 484 502 704 968 1004 1331 1408 1936 2008 2662 2761 2816 3872 4016 5324 5522 7744 8032 10648 11044 14641 15488 16064 21296 22088 29282 30371 30976 32128 42592 44176 58564 60742 63001 64256 85184 88352 117128 121484 126002 170368 176704 234256 242968 252004 334081 340736 353408 468512 485936 504008 668162 693011 706816 937024 971872 1008016 1336324 1386022 1874048 1943744 2016032 2672648 2772044 3674891 3748096 3887488 4032064 5345296 5544088 7349782 7623121 7774976 8064128 10690592 11088176 14699564 15246242 16128256 21381184 22176352 29399128 30492484 42762368 44352704 58798256 60984968 83854331 85524736 88705408 117596512 121969936 167708662 177410816 235193024 243939872 335417324 470386048 487879744 670834648 922397641 940772096 975759488 1341669296 1844795282 1951518976 2683338592 3689590564 5366677184 7379181128 10733354368 14758362256 21466708736 29516724512 59033449024 118066898048 236133796096