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42739693724 = 22713213168947
BaseRepresentation
bin100111110011011110…
…111111100010011100
311002022121021101202102
4213303132333202130
51200012330144344
631345003544232
73042062255030
oct476336774234
9132277241672
1042739693724
1117142496532
12834952b078
134051856300
1420d63b41c0
1511a22ace4e
hex9f37bf89c

42739693724 has 72 divisors (see below), whose sum is σ = 93268441728. Its totient is φ = 16778698560.

The previous prime is 42739693723. The next prime is 42739693739.

42739693724 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42739693724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42739693723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585419 + ... + 654365.

It is an arithmetic number, because the mean of its divisors is an integer number (1295395024).

Almost surely, 242739693724 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 42739693724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46634220864).

42739693724 is an abundant number, since it is smaller than the sum of its proper divisors (50528748004).

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

42739693724 is a wasteful number, since it uses less digits than its factorization.

42739693724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69115 (or 69100 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 56.

The spelling of 42739693724 in words is "forty-two billion, seven hundred thirty-nine million, six hundred ninety-three thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 131 169 182 262 338 364 524 676 917 1183 1703 1834 2366 3406 3668 4732 6812 11921 22139 23842 44278 47684 68947 88556 137894 154973 275788 309946 482629 619892 896311 965258 1792622 1930516 3585244 6274177 9032057 11652043 12548354 18064114 23304086 25096708 36128228 46608172 63224399 81564301 117416741 126448798 163128602 234833482 252897596 326257204 469666964 821917187 1526417633 1643834374 3052835266 3287668748 6105670532 10684923431 21369846862 42739693724