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642334452111066 = 23111335271274316657
BaseRepresentation
bin1001001000001100110010010…
…0110110000101011011011010
310010020022120111101022122100110
42102003030210312011123122
51133143001424220023231
610154044212411145150
7252204063344011041
oct22203144466053332
93106276441278313
10642334452111066
11176738569657060
12600608784451b6
1321754b57009690
14b489220b85558
154e3d8d6e7e046
hex2483324d856da

642334452111066 has 128 divisors (see below), whose sum is σ = 1509898399543296. Its totient is φ = 179598151572480.

The previous prime is 642334452111019. The next prime is 642334452111067. The reversal of 642334452111066 is 660111254433246.

It is not an unprimeable number, because it can be changed into a prime (642334452111067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38562425010 + ... + 38562441666.

It is an arithmetic number, because the mean of its divisors is an integer number (11796081246432).

Almost surely, 2642334452111066 is an apocalyptic number.

642334452111066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642334452111066 is an abundant number, since it is smaller than the sum of its proper divisors (867563947432230).

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

642334452111066 is a wasteful number, since it uses less digits than its factorization.

642334452111066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32956.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 642334452111066 in words is "six hundred forty-two trillion, three hundred thirty-four billion, four hundred fifty-two million, one hundred eleven thousand, sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 3527 7054 10581 12743 16657 21162 25486 33314 38229 38797 45851 49971 76458 77594 91702 99942 116391 137553 140173 165659 183227 216541 232782 275106 280346 331318 366454 420519 433082 496977 504361 549681 649623 841038 993954 1008722 1099362 1299246 1513083 1822249 2381951 3026166 3644498 4763902 5466747 7145853 10933494 14291706 44944561 58749239 89889122 117498478 134833683 176247717 212260151 269667366 352495434 424520302 494390171 584279293 636780453 646241629 763740107 988780342 1168558586 1273560906 1292483258 1483170513 1527480214 1752837879 1938724887 2291220321 2334861661 2759381963 2966341026 3505675758 3877449774 4582440642 4669723322 5518763926 6427072223 7004584983 8278145889 8401141177 12854144446 14009169966 16556291778 16802282354 19281216669 25203423531 30353201593 38562433338 50406847062 60706403186 91059604779 182119209558 748641552577 1497283105154 2245924657731 4491849315462 8235057078347 9732340183501 16470114156694 19464680367002 24705171235041 29197020550503 49410342470082 58394041101006 107055742018511 214111484037022 321167226055533 642334452111066