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42987930752 = 271332597927
BaseRepresentation
bin101000000010010001…
…111100010010000000
311002221220101010221102
4220002101330102000
51201014402241002
631425352313532
73051165245114
oct500221742200
9132856333842
1042987930752
111725a6256a8
1283b86a28a8
1340910cc420
14211b351744
1511b8e94a02
hexa0247c480

42987930752 has 64 divisors (see below), whose sum is σ = 92267649600. Its totient is φ = 19831993344.

The previous prime is 42987930743. The next prime is 42987930793. The reversal of 42987930752 is 25703978924.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5419013 + ... + 5426939.

It is an arithmetic number, because the mean of its divisors is an integer number (1441682025).

Almost surely, 242987930752 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 42987930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46133824800).

42987930752 is an abundant number, since it is smaller than the sum of its proper divisors (49279718848).

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

42987930752 is a wasteful number, since it uses less digits than its factorization.

42987930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 42987930752 in words is "forty-two billion, nine hundred eighty-seven million, nine hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3259 6518 7927 13036 15854 26072 31708 42367 52144 63416 84734 103051 104288 126832 169468 206102 208576 253664 338936 412204 417152 507328 677872 824408 1014656 1355744 1648816 2711488 3297632 5422976 6595264 13190528 25834093 51668186 103336372 206672744 335843209 413345488 671686418 826690976 1343372836 1653381952 2686745672 3306763904 5373491344 10746982688 21493965376 42987930752