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42723126056 = 23137938313577
BaseRepresentation
bin100111110010011111…
…110010101100101000
311002021110002200012002
4213302133302230220
51144444110013211
631343212510132
73041501402552
oct476237625450
9132243080162
1042723126056
11171340aaa46
128343a7b348
13404b2a5260
1420d41004d2
1511a0ad903b
hex9f27f2b28

42723126056 has 64 divisors (see below), whose sum is σ = 87594393600. Its totient is φ = 19416503808.

The previous prime is 42723126031. The next prime is 42723126059. The reversal of 42723126056 is 65062132724.

It is a super-2 number, since 2×427231260562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42723126059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3139940 + ... + 3153516.

It is an arithmetic number, because the mean of its divisors is an integer number (1368662400).

Almost surely, 242723126056 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 42723126056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43797196800).

42723126056 is an abundant number, since it is smaller than the sum of its proper divisors (44871267544).

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

42723126056 is a wasteful number, since it uses less digits than its factorization.

42723126056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14058 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 42723126056 in words is "forty-two billion, seven hundred twenty-three million, one hundred twenty-six thousand, fifty-six".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 383 632 766 1027 1532 2054 3064 4108 4979 8216 9958 13577 19916 27154 30257 39832 54308 60514 108616 121028 176501 242056 353002 393341 706004 786682 1072583 1412008 1573364 2145166 3146728 4290332 5199991 8580664 10399982 13943579 20799964 27887158 41599928 55774316 67599883 111548632 135199766 270399532 410799289 540799064 821598578 1643197156 3286394312 5340390757 10680781514 21361563028 42723126056