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13642803330 = 23513316191823
BaseRepresentation
bin11001011010010110…
…01010100010000010
31022012210100012212020
430231023022202002
5210420024201310
610133432342310
7662036625552
oct145513124202
938183305766
1013642803330
115871009082
122788b44996
1313956060c0
14935c95162
1554cac7170
hex32d2ca882

13642803330 has 128 divisors (see below), whose sum is σ = 36477665280. Its totient is φ = 3242868480.

The previous prime is 13642803313. The next prime is 13642803367. The reversal of 13642803330 is 3330824631.

It is a super-2 number, since 2×136428033302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13642803291 and 13642803300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7482799 + ... + 7484621.

It is an arithmetic number, because the mean of its divisors is an integer number (284981760).

Almost surely, 213642803330 is an apocalyptic number.

13642803330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13642803330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18238832640).

13642803330 is an abundant number, since it is smaller than the sum of its proper divisors (22834861950).

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

13642803330 is a wasteful number, since it uses less digits than its factorization.

13642803330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 13642803330 in words is "thirteen billion, six hundred forty-two million, eight hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 619 806 930 1209 1238 1823 1857 2015 2418 3095 3646 3714 4030 5469 6045 6190 8047 9115 9285 10938 12090 16094 18230 18570 19189 23699 24141 27345 38378 40235 47398 48282 54690 56513 57567 71097 80470 95945 113026 115134 118495 120705 142194 169539 191890 236990 241410 249457 282565 287835 339078 355485 498914 565130 575670 710970 734669 748371 847695 1128437 1247285 1469338 1496742 1695390 2204007 2256874 2494570 3385311 3673345 3741855 4408014 5642185 6770622 7346690 7483710 11020035 11284370 14669681 16926555 22040070 29339362 33853110 34981547 44009043 69963094 73348405 88018086 104944641 146696810 174907735 209889282 220045215 349815470 440090430 454760111 524723205 909520222 1049446410 1364280333 2273800555 2728560666 4547601110 6821401665 13642803330