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42933417472 = 291132512
BaseRepresentation
bin100111111111000001…
…111111011000000000
311002211002210120210001
4213333001333120000
51200411423324342
631420124045344
73046634012221
oct477701773000
9132732716701
1042933417472
1117231882000
1283a2393854
134082a2394a
142114001248
1511b42c78b7
hex9ff07f600

42933417472 has 120 divisors (see below), whose sum is σ = 94732247016. Its totient is φ = 19437440000.

The previous prime is 42933417407. The next prime is 42933417497. The reversal of 42933417472 is 27471433924.

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, 171049347 + ... + 171049597.

Almost surely, 242933417472 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 42933417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47366123508).

42933417472 is an abundant number, since it is smaller than the sum of its proper divisors (51798829544).

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

42933417472 is an frugal number, since it uses more digits than its factorization.

42933417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 264 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The spelling of 42933417472 in words is "forty-two billion, nine hundred thirty-three million, four hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 251 256 352 484 502 512 704 968 1004 1331 1408 1936 2008 2662 2761 2816 3872 4016 5324 5522 5632 7744 8032 10648 11044 15488 16064 21296 22088 30371 30976 32128 42592 44176 60742 61952 63001 64256 85184 88352 121484 126002 128512 170368 176704 242968 252004 334081 340736 353408 485936 504008 668162 681472 693011 706816 971872 1008016 1336324 1386022 1413632 1943744 2016032 2672648 2772044 3887488 4032064 5345296 5544088 7623121 7774976 8064128 10690592 11088176 15246242 15549952 16128256 21381184 22176352 30492484 32256512 42762368 44352704 60984968 83854331 85524736 88705408 121969936 167708662 171049472 177410816 243939872 335417324 354821632 487879744 670834648 975759488 1341669296 1951518976 2683338592 3903037952 5366677184 10733354368 21466708736 42933417472