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42463636424 = 23112167347757
BaseRepresentation
bin100111100011000001…
…111010101111001000
311001121100211020022222
4213203001322233020
51143431142331144
631301343033212
73032200645166
oct474301725710
9131540736288
1042463636424
1117010685600
128290b9b808
1340095bc3b1
1420ab874236
151187e2d2ee
hex9e307abc8

42463636424 has 96 divisors (see below), whose sum is σ = 88409845440. Its totient is φ = 19105511040.

The previous prime is 42463636399. The next prime is 42463636433.

42463636424 is nontrivially palindromic in base 10.

42463636424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56094254 + ... + 56095010.

It is an arithmetic number, because the mean of its divisors is an integer number (920935890).

Almost surely, 242463636424 is an apocalyptic number.

42463636424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42463636424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44204922720).

42463636424 is an abundant number, since it is smaller than the sum of its proper divisors (45946209016).

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

42463636424 is a wasteful number, since it uses less digits than its factorization.

42463636424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1284 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 44.

The spelling of 42463636424 in words is "forty-two billion, four hundred sixty-three million, six hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 167 242 334 347 484 668 694 757 968 1336 1388 1514 1837 2776 3028 3674 3817 6056 7348 7634 8327 14696 15268 16654 20207 30536 33308 40414 41987 57949 66616 80828 83974 91597 115898 126419 161656 167948 183194 231796 252838 262679 335896 366388 463592 505676 525358 637439 732776 1011352 1050716 1274878 1390609 2101432 2549756 2781218 2889469 5099512 5562436 5778938 7011829 11124872 11557876 14023658 15296699 23115752 28047316 30593398 31784159 43867393 56094632 61186796 63568318 87734786 122373592 127136636 175469572 254273272 350939144 482541323 965082646 1930165292 3860330584 5307954553 10615909106 21231818212 42463636424