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42005690896 = 2413491921
BaseRepresentation
bin100111000111101110…
…111111101000010000
311000102110010012011111
4213013232333220100
51142011424102041
631144103423104
73014640324061
oct470756775020
9130373105144
1042005690896
11168a6132324
128183754a94
133c65770000
142066b08568
15115cb20981
hex9c7bbfa10

42005690896 has 50 divisors (see below), whose sum is σ = 88168916662. Its totient is φ = 19387031040.

The previous prime is 42005690869. The next prime is 42005690933. The reversal of 42005690896 is 69809650024.

It can be written as a sum of positive squares in 5 ways, for example, as 40040010000 + 1965680896 = 200100^2 + 44336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 411016 + ... + 502936.

Almost surely, 242005690896 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 42005690896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44084458331).

42005690896 is an abundant number, since it is smaller than the sum of its proper divisors (46163225766).

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

42005690896 is an frugal number, since it uses more digits than its factorization.

42005690896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91981 (or 91936 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 42005690896 in words is "forty-two billion, five million, six hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2197 2704 4394 8788 17576 28561 35152 57122 91921 114244 183842 228488 367684 456976 735368 1194973 1470736 2389946 4779892 9559784 15534649 19119568 31069298 62138596 124277192 201950437 248554384 403900874 807801748 1615603496 2625355681 3231206992 5250711362 10501422724 21002845448 42005690896