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3342722633064 = 2332167541513871
BaseRepresentation
bin110000101001001001110…
…010111000110101101000
3102211120011002100221010100
4300221021302320311220
5414231343443224224
611035343042545400
7463334532400113
oct60511162706550
912746132327110
103342722633064
111079705866591
1245ba13068260
131b32a97c0539
14b7b0804b57a
155be42940ac9
hex30a49cb8d68

3342722633064 has 96 divisors (see below), whose sum is σ = 9124270122240. Its totient is φ = 1105519363200.

The previous prime is 3342722633053. The next prime is 3342722633093. The reversal of 3342722633064 is 4603362272433.

3342722633064 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 7 + 2 + 2 + 633 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×33427226330642 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6248049 + ... + 6761919.

It is an arithmetic number, because the mean of its divisors is an integer number (95044480440).

Almost surely, 23342722633064 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 3342722633064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562135061120).

3342722633064 is an abundant number, since it is smaller than the sum of its proper divisors (5781547489176).

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

3342722633064 is a wasteful number, since it uses less digits than its factorization.

3342722633064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514591 (or 514584 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 45.

It can be divided in two parts, 33427226 and 33064, that added together give a triangular number (33460290 = T8180).

The spelling of 3342722633064 in words is "three trillion, three hundred forty-two billion, seven hundred twenty-two million, six hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 541 668 1002 1082 1336 1503 1623 2004 2164 3006 3246 4008 4328 4869 6012 6492 9738 12024 12984 19476 38952 90347 180694 271041 361388 513871 542082 722776 813123 1027742 1084164 1541613 1626246 2055484 2168328 3083226 3252492 4110968 4624839 6166452 6504984 9249678 12332904 18499356 36998712 85816457 171632914 257449371 278004211 343265828 514898742 556008422 686531656 772348113 834012633 1029797484 1112016844 1544696226 1668025266 2059594968 2224033688 2502037899 3089392452 3336050532 5004075798 6178784904 6672101064 10008151596 20016303192 46426703237 92853406474 139280109711 185706812948 278560219422 371413625896 417840329133 557120438844 835680658266 1114240877688 1671361316532 3342722633064