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42690024468 = 223271313739491
BaseRepresentation
bin100111110000100001…
…100001010000010100
311002012010210221100100
4213300201201100110
51144412121240333
631340031214100
73040620135510
oct476041412024
9132163727310
1042690024468
1117117451263
128334977330
134044485610
1420cd965140
15119cc4b213
hex9f0861414

42690024468 has 144 divisors (see below), whose sum is σ = 132924145536. Its totient is φ = 11249521920.

The previous prime is 42690024449. The next prime is 42690024491. The reversal of 42690024468 is 86442009624.

It is a super-3 number, since 3×426900244683 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4493203 + ... + 4502693.

It is an arithmetic number, because the mean of its divisors is an integer number (923084344).

Almost surely, 242690024468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42690024468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66462072768).

42690024468 is an abundant number, since it is smaller than the sum of its proper divisors (90234121068).

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

42690024468 is a wasteful number, since it uses less digits than its factorization.

42690024468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42690024468 in words is "forty-two billion, six hundred ninety million, twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1373 1638 2746 3276 4119 5492 8238 9491 9611 12357 16476 17849 18982 19222 24714 28473 28833 35698 37964 38444 49428 53547 56946 57666 66437 71396 85419 86499 107094 113892 115332 123383 124943 132874 160641 170838 172998 199311 214188 246766 249886 265748 321282 341676 345996 370149 374829 398622 493532 499772 597933 642564 740298 749658 797244 863681 1110447 1124487 1195866 1480596 1499316 1727362 2220894 2248974 2391732 2591043 3454724 4441788 4497948 5182086 7773129 10364172 13031143 15546258 26062286 31092516 39093429 52124572 78186858 91218001 117280287 156373716 169404859 182436002 234560574 273654003 338809718 364872004 469121148 508214577 547308006 677619436 820962009 1016429154 1094616012 1185834013 1524643731 1641924018 2032858308 2371668026 3049287462 3283848036 3557502039 4743336052 6098574924 7115004078 10672506117 14230008156 21345012234 42690024468