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43742405536 = 2559157147571
BaseRepresentation
bin101000101111010000…
…000010001110100000
311011220111001102202221
4220233100002032200
51204041023434121
632032303320424
73105656212054
oct505720021640
9134814042687
1043742405536
11176074a1785
1285892b0114
1341815028cb
14218d629c64
151210327b41
hexa2f4023a0

43742405536 has 48 divisors (see below), whose sum is σ = 88135901280. Its totient is φ = 21363413760.

The previous prime is 43742405521. The next prime is 43742405561. The reversal of 43742405536 is 63550424734.

It is a junction number, because it is equal to n+sod(n) for n = 43742405492 and 43742405501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222631 + ... + 370201.

It is an arithmetic number, because the mean of its divisors is an integer number (1836164610).

Almost surely, 243742405536 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 43742405536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44067950640).

43742405536 is an abundant number, since it is smaller than the sum of its proper divisors (44393495744).

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

43742405536 is a wasteful number, since it uses less digits than its factorization.

43742405536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147797 (or 147789 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 43.

The spelling of 43742405536 in words is "forty-three billion, seven hundred forty-two million, four hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 118 157 236 314 472 628 944 1256 1888 2512 5024 9263 18526 37052 74104 147571 148208 295142 296416 590284 1180568 2361136 4722272 8706689 17413378 23168647 34826756 46337294 69653512 92674588 139307024 185349176 278614048 370698352 741396704 1366950173 2733900346 5467800692 10935601384 21871202768 43742405536