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42687340718616 = 23331123781132717
BaseRepresentation
bin10011011010010111010111…
…10001111010101000011000
312121010212111011121010122000
421231023223301322220120
521043342133210443431
6230442143230201000
711664026045210316
oct1155135361725030
9177125434533560
1042687340718616
1112668665a85030
124955114053160
131aa8525680809
14a78114c770b6
154e05e07039e6
hex26d2ebc7aa18

42687340718616 has 128 divisors (see below), whose sum is σ = 134979733670400. Its totient is φ = 12373142221440.

The previous prime is 42687340718591. The next prime is 42687340718623. The reversal of 42687340718616 is 61681704378624.

42687340718616 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 7 + 3 + 4 + 0 + 7 + 1 + 8 + 616 = 666.

It is a super-3 number, since 3×426873407186163 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390511711 + ... + 390621006.

It is an arithmetic number, because the mean of its divisors is an integer number (1054529169300).

Almost surely, 242687340718616 is an apocalyptic number.

42687340718616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42687340718616 is an abundant number, since it is smaller than the sum of its proper divisors (92292392951784).

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

42687340718616 is a wasteful number, since it uses less digits than its factorization.

42687340718616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781132766 (or 781132756 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 42687340718616 in words is "forty-two trillion, six hundred eighty-seven billion, three hundred forty million, seven hundred eighteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 54648 781132717 1562265434 2343398151 3124530868 4686796302 6249061736 7030194453 8592459887 9373592604 14060388906 17184919774 17966052491 18747185208 21090583359 25777379661 28120777812 34369839548 35932104982 42181166718 51554759322 53898157473 56241555624 68739679096 71864209964 77332138983 84362333436 103109518644 107796314946 143728419928 154664277966 161694472419 168724666872 197626577401 206219037288 215592629892 231996416949 309328555932 323388944838 395253154802 431185259784 463992833898 485083417257 592879732203 618657111864 646777889676 790506309604 927985667796 970166834514 1185759464406 1293555779352 1581012619208 1778639196609 1855971335592 1940333669028 2371518928812 3557278393218 3880667338056 4743037857624 5335917589827 7114556786436 10671835179654 14229113572872 21343670359308 42687340718616