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542043644256 = 2533627365329
BaseRepresentation
bin1111110001101000101…
…00011010000101100000
31220211002221202010122000
413320310110122011200
532340101133104011
61053002244244000
754106226645562
oct7706424320540
91824087663560
10542043644256
11199974562734
12890753a0600
133c164718b9a
141c340dab332
15e176c4e356
hex7e3451a160

542043644256 has 48 divisors (see below), whose sum is σ = 1580960631600. Its totient is φ = 180681214464.

The previous prime is 542043644237. The next prime is 542043644281. The reversal of 542043644256 is 652446340245.

It is a happy number.

542043644256 is a `hidden beast` number, since 542 + 0 + 4 + 3 + 64 + 42 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5420436442562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313681801 + ... + 313683528.

It is an arithmetic number, because the mean of its divisors is an integer number (32936679825).

Almost surely, 2542043644256 is an apocalyptic number.

It is an amenable number.

542043644256 is an abundant number, since it is smaller than the sum of its proper divisors (1038916987344).

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

542043644256 is a wasteful number, since it uses less digits than its factorization.

542043644256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627365348 (or 627365334 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 542043644256 in words is "five hundred forty-two billion, forty-three million, six hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 627365329 1254730658 1882095987 2509461316 3764191974 5018922632 5646287961 7528383948 10037845264 11292575922 15056767896 16938863883 20075690528 22585151844 30113535792 33877727766 45170303688 60227071584 67755455532 90340607376 135510911064 180681214752 271021822128 542043644256