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42662465424 = 243447296961
BaseRepresentation
bin100111101110111000…
…011000111110010000
311002010012221210110000
4213232320120332100
51144333042343144
631333204410000
73040133654445
oct475670307620
9132105853400
1042662465424
1117102938797
1283276a6900
13403b8566a7
1420ca02d9cc
15119a605769
hex9eee18f90

42662465424 has 100 divisors (see below), whose sum is σ = 123521405260. Its totient is φ = 14215772160.

The previous prime is 42662465401. The next prime is 42662465429. The reversal of 42662465424 is 42456426624.

42662465424 is a `hidden beast` number, since 4 + 2 + 6 + 62 + 46 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14216269824 + 28446195600 = 119232^2 + 168660^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42662465424.

It is not an unprimeable number, because it can be changed into a prime (42662465429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6125304 + ... + 6132264.

Almost surely, 242662465424 is an apocalyptic number.

It is an amenable number.

42662465424 is an abundant number, since it is smaller than the sum of its proper divisors (80858939836).

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

42662465424 is a wasteful number, since it uses less digits than its factorization.

42662465424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11710 (or 11695 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 42662465424 in words is "forty-two billion, six hundred sixty-two million, four hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4729 6961 9458 13922 14187 18916 20883 27844 28374 37832 41766 42561 55688 56748 62649 75664 83532 85122 111376 113496 125298 127683 167064 170244 187947 226992 250596 255366 334128 340488 375894 383049 501192 510732 563841 680976 751788 766098 1002384 1021464 1127682 1503576 1532196 2042928 2255364 3007152 3064392 4510728 6128784 9021456 32918569 65837138 98755707 131674276 197511414 263348552 296267121 395022828 526697104 592534242 790045656 888801363 1185068484 1580091312 1777602726 2370136968 2666404089 3555205452 4740273936 5332808178 7110410904 10665616356 14220821808 21331232712 42662465424