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668917128 = 2331171127281
BaseRepresentation
bin100111110111101…
…101110110001000
31201121200111210110
4213313231312020
52332220322003
6150213114320
722401462465
oct4767556610
91647614713
10668917128
1131364a380
121680289a0
13a8778569
1464ba666c
153dad2a03
hex27dedd88

668917128 has 128 divisors (see below), whose sum is σ = 1871216640. Its totient is φ = 197568000.

The previous prime is 668917127. The next prime is 668917133. The reversal of 668917128 is 821719866.

It is not an unprimeable number, because it can be changed into a prime (668917121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380348 + ... + 2380628.

It is an arithmetic number, because the mean of its divisors is an integer number (14618880).

Almost surely, 2668917128 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 668917128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935608320).

668917128 is an abundant number, since it is smaller than the sum of its proper divisors (1202299512).

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

668917128 is a wasteful number, since it uses less digits than its factorization.

668917128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 495 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 668917128 is about 25863.4322548265. The cubic root of 668917128 is about 874.5623402560.

The spelling of 668917128 in words is "six hundred sixty-eight million, nine hundred seventeen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 127 132 142 213 254 264 281 284 381 426 508 562 568 762 781 843 852 1016 1124 1397 1524 1562 1686 1704 2248 2343 2794 3048 3091 3124 3372 4191 4686 5588 6182 6248 6744 8382 9017 9273 9372 11176 12364 16764 18034 18546 18744 19951 24728 27051 33528 35687 36068 37092 39902 54102 59853 71374 72136 74184 79804 99187 107061 108204 119706 142748 159608 198374 214122 216408 219461 239412 285496 297561 392557 396748 428244 438922 478824 595122 658383 785114 793496 856488 877844 1177671 1190244 1316766 1570228 1755688 2355342 2380488 2533777 2633532 3140456 4710684 5067554 5267064 7601331 9421368 10135108 15202662 20270216 27871547 30405324 55743094 60810648 83614641 111486188 167229282 222972376 334458564 668917128