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42597801664 = 2611499121259
BaseRepresentation
bin100111101011000001…
…101101111011000000
311001221201021112102221
4213223001231323000
51144220014123124
631322534420424
73035420224405
oct475301557300
9131851245387
1042597801664
111707a391970
128309b01714
13402b335a02
1420c15da2ac
151194ad0ce4
hex9eb06dec0

42597801664 has 56 divisors (see below), whose sum is σ = 92400120000. Its totient is φ = 19323674880.

The previous prime is 42597801661. The next prime is 42597801679. The reversal of 42597801664 is 46610879524.

42597801664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42597801661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290667 + ... + 411925.

Almost surely, 242597801664 is an apocalyptic number.

42597801664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42597801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46200060000).

42597801664 is an abundant number, since it is smaller than the sum of its proper divisors (49802318336).

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

42597801664 is a wasteful number, since it uses less digits than its factorization.

42597801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121781 (or 121771 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 42597801664 in words is "forty-two billion, five hundred ninety-seven million, eight hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 499 704 998 1996 3992 5489 7984 10978 15968 21956 31936 43912 87824 121259 175648 242518 351296 485036 970072 1333849 1940144 2667698 3880288 5335396 7760576 10670792 21341584 42683168 60508241 85366336 121016482 242032964 484065928 665590651 968131856 1331181302 1936263712 2662362604 3872527424 5324725208 10649450416 21298900832 42597801664