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3328932465984 = 26353768742557
BaseRepresentation
bin110000011100010011110…
…101100100110101000000
3102210020120000201212012110
4300130103311210311000
5414020123202402414
611025142423455320
7462336023041266
oct60342365446500
912706500655173
103328932465984
111073879656994
124592048b7540
131b1bbc7cc468
14b719a796436
155b8d6e5a459
hex30713d64d40

3328932465984 has 112 divisors (see below), whose sum is σ = 8975363718528. Its totient is φ = 1088540264448.

The previous prime is 3328932465977. The next prime is 3328932466051. The reversal of 3328932465984 is 4895642398233.

It is a super-2 number, since 2×33289324659842 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78201634 + ... + 78244190.

Almost surely, 23328932465984 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 3328932465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487681859264).

3328932465984 is an abundant number, since it is smaller than the sum of its proper divisors (5646431252544).

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

3328932465984 is a wasteful number, since it uses less digits than its factorization.

3328932465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50312 (or 50302 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 66.

The spelling of 3328932465984 in words is "three trillion, three hundred twenty-eight billion, nine hundred thirty-two million, four hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 7687 10176 15374 23061 30748 42557 46122 61496 85114 92244 122992 127671 170228 184488 245984 255342 340456 368976 407411 491968 510684 680912 737952 814822 1021368 1222233 1361824 1475904 1629644 2042736 2255521 2444466 2723648 3259288 4085472 4511042 4888932 6518576 6766563 8170944 9022084 9777864 13037152 13533126 18044168 19555728 26074304 27066252 36088336 39111456 54132504 72176672 78222912 108265008 144353344 216530016 327135659 433060032 654271318 981406977 1308542636 1962813954 2617085272 3925627908 5234170544 7851255816 10468341088 15702511632 17338189927 20936682176 31405023264 34676379854 52014569781 62810046528 69352759708 104029139562 138705519416 208058279124 277411038832 416116558248 554822077664 832233116496 1109644155328 1664466232992 3328932465984