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329352027664 = 24112130432
BaseRepresentation
bin1001100101011101110…
…10010001111000010000
31011111010002221112011211
410302232322101320100
520344003104341124
6411145140545504
732536436021122
oct4625672217020
91144102845154
10329352027664
1111774a6a7100
12539b73b2294
1325099b9c90a
1411d254b7212
158879490e94
hex4caee91e10

329352027664 has 45 divisors (see below), whose sum is σ = 701457917839. Its totient is φ = 149693989280.

The previous prime is 329352027643. The next prime is 329352027673. The reversal of 329352027664 is 466720253923.

The square root of 329352027664 is 573892.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25244727 + ... + 25257769.

Almost surely, 2329352027664 is an apocalyptic number.

329352027664 is the 573892-nd square number.

It is an amenable number.

329352027664 is an abundant number, since it is smaller than the sum of its proper divisors (372105890175).

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

329352027664 is an frugal number, since it uses more digits than its factorization.

329352027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26116 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 49.

Multiplying 329352027664 by its sum of digits (49), we get a square (16138249355536 = 40172442).

The spelling of 329352027664 in words is "three hundred twenty-nine billion, three hundred fifty-two million, twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 13043 26086 52172 104344 143473 208688 286946 573892 1147784 1578203 2295568 3156406 6312812 12625624 25251248 170119849 340239698 680479396 1360958792 1871318339 2721917584 3742636678 7485273356 14970546712 20584501729 29941093424 41169003458 82338006916 164676013832 329352027664