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42427120662864 = 24327350511200833
BaseRepresentation
bin10011010010110010101010…
…11101001011100101010000
312120012222210222122122122100
421221121111131023211100
521030111220342202424
6230122430011240400
711636154413220540
oct1151312535134520
9176188728578570
1042427120662864
11125782715a5713
1249127b0a49100
131a89b25147572
14a696aadbd320
154d896055edc9
hex26965574b950

42427120662864 has 120 divisors (see below), whose sum is σ = 135703425978432. Its totient is φ = 12121678540800.

The previous prime is 42427120662853. The next prime is 42427120662869. The reversal of 42427120662864 is 46826602172424.

42427120662864 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 7 + 1 + 2 + 0 + 6 + 628 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42427120662864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42427120662869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34730992 + ... + 35931824.

Almost surely, 242427120662864 is an apocalyptic number.

It is an amenable number.

42427120662864 is an abundant number, since it is smaller than the sum of its proper divisors (93276305315568).

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

42427120662864 is a wasteful number, since it uses less digits than its factorization.

42427120662864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235905 (or 1235896 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 42427120662864 in words is "forty-two trillion, four hundred twenty-seven billion, one hundred twenty million, six hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 35051 70102 105153 140204 210306 245357 280408 315459 420612 490714 560816 630918 736071 841224 981428 1200833 1261836 1472142 1682448 1962856 2208213 2401666 2523672 2944284 3602499 3925712 4416426 4803332 5047344 5888568 7204998 8405831 8832852 9606664 10807497 11777136 14409996 16811662 17665704 19213328 21614994 25217493 28819992 33623324 35331408 43229988 50434986 57639984 67246648 75652479 86459976 100869972 134493296 151304958 172919952 201739944 302609916 403479888 605219832 1210439664 42090397483 84180794966 126271192449 168361589932 252542384898 294632782381 336723179864 378813577347 505084769796 589265564762 673446359728 757627154694 883898347143 1010169539592 1178531129524 1515254309388 1767796694286 2020339079184 2357062259048 2651695041429 3030508618776 3535593388572 4714124518096 5303390082858 6061017237552 7071186777144 10606780165716 14142373554288 21213560331432 42427120662864