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13332543002004 = 223171031039610703
BaseRepresentation
bin1100001000000011100101…
…1111010101010110010100
31202012120121211211100100010
43002000321133111112110
53221420022002031004
644204515151120220
72544146562441642
oct302007137252624
952176554740303
1013332543002004
114280332a45076
1215b3b29813070
1375933a986615
14341427218192
15181c23d41a89
hexc20397d5594

13332543002004 has 96 divisors (see below), whose sum is σ = 33291087298560. Its totient is φ = 4138155836928.

The previous prime is 13332543001991. The next prime is 13332543002029. The reversal of 13332543002004 is 40020034523331.

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, 21526117 + ... + 22136819.

It is an arithmetic number, because the mean of its divisors is an integer number (346782159360).

Almost surely, 213332543002004 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 13332543002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645543649280).

13332543002004 is an abundant number, since it is smaller than the sum of its proper divisors (19958544296556).

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

13332543002004 is a wasteful number, since it uses less digits than its factorization.

13332543002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611869 (or 611867 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 13332543002004 its reverse (40020034523331), we get a palindrome (53352577525335).

The spelling of 13332543002004 in words is "thirteen trillion, three hundred thirty-two billion, five hundred forty-three million, two thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 1039 1236 1751 2078 3117 3502 4156 5253 6234 7004 10506 12468 17663 21012 35326 52989 70652 105978 107017 211956 214034 321051 428068 610703 642102 1221406 1284204 1819289 1832109 2442812 3638578 3664218 5457867 7277156 7328436 10381951 10915734 20763902 21831468 31145853 41527804 62291706 62902409 124583412 125804818 188707227 251609636 377414454 634520417 754828908 1069340953 1269040834 1903561251 2138681906 2538081668 3208022859 3807122502 4277363812 6416045718 7614245004 10786847089 12832091436 21573694178 32360541267 43147388356 64721082534 65355602951 129442165068 130711205902 196066808853 261422411804 392133617706 784267235412 1111045250167 2222090500334 3333135750501 4444181000668 6666271501002 13332543002004