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54622430640 = 2432575864487
BaseRepresentation
bin110010110111110000…
…000010010110110000
312012222201201222101200
4302313300002112300
51343331320240030
641032044131200
73642410666631
oct626760022660
9165881658350
1054622430640
112118aa35668
12a704b36b00
1351c661189b
1429025c9888
15164a5b8d60
hexcb7c025b0

54622430640 has 60 divisors (see below), whose sum is σ = 183440331984. Its totient is φ = 14565981312.

The previous prime is 54622430617. The next prime is 54622430657. The reversal of 54622430640 is 4603422645.

54622430640 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 2 + 4 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×546224306402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54622430595 and 54622430604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37931524 + ... + 37932963.

Almost surely, 254622430640 is an apocalyptic number.

It is an amenable number.

54622430640 is an abundant number, since it is smaller than the sum of its proper divisors (128817901344).

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

54622430640 is a wasteful number, since it uses less digits than its factorization.

54622430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75864506 (or 75864497 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 54622430640 in words is "fifty-four billion, six hundred twenty-two million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 75864487 151728974 227593461 303457948 379322435 455186922 606915896 682780383 758644870 910373844 1137967305 1213831792 1365560766 1517289740 1820747688 2275934610 2731121532 3034579480 3413901915 3641495376 4551869220 5462243064 6069158960 6827803830 9103738440 10924486128 13655607660 18207476880 27311215320 54622430640