Search a number
-
+
330006465100104 = 233131397609446253
BaseRepresentation
bin100101100001000111001111…
…0001000000011100101001000
31121021110022100221212110102020
41023002032132020003211020
5321223311220031200404
63125510513245004440
7126340115562464532
oct11302163610034510
91537408327773366
10330006465100104
1196171a57330a11
1231019569553720
131121a626095890
145b6c5806a0852
15282435aee2ed9
hex12c239e203948

330006465100104 has 64 divisors (see below), whose sum is σ = 894870879470400. Its totient is φ = 100809943946496.

The previous prime is 330006465100069. The next prime is 330006465100127. The reversal of 330006465100104 is 401001564600033.

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 15 ways as a sum of consecutive naturals, for example, 3804679759 + ... + 3804766494.

It is an arithmetic number, because the mean of its divisors is an integer number (13982357491725).

Almost surely, 2330006465100104 is an apocalyptic number.

It is an amenable number.

330006465100104 is an abundant number, since it is smaller than the sum of its proper divisors (564864414370296).

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

330006465100104 is a wasteful number, since it uses less digits than its factorization.

330006465100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609446414 (or 7609446410 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 330006465100104 in words is "three hundred thirty trillion, six billion, four hundred sixty-five million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 139 156 278 312 417 556 834 1112 1668 1807 3336 3614 5421 7228 10842 14456 21684 43368 7609446253 15218892506 22828338759 30437785012 45656677518 60875570024 91313355036 98922801289 182626710072 197845602578 296768403867 395691205156 593536807734 791382410312 1057713029167 1187073615468 2115426058334 2374147230936 3173139087501 4230852116668 6346278175002 8461704233336 12692556350004 13750269379171 25385112700008 27500538758342 41250808137513 55001077516684 82501616275026 110002155033368 165003232550052 330006465100104