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668102769432 = 23337805954829
BaseRepresentation
bin10011011100011100000…
…01110011101100011000
32100212111020020012022000
421232032001303230120
541421233302110212
61230531105001000
766161131561140
oct11561601635430
92325436205260
10668102769432
1123838266121a
12a9596323160
134b004000a07
142449cd13920
15125a3b1b1dc
hex9b8e073b18

668102769432 has 128 divisors (see below), whose sum is σ = 2121263040000. Its totient is φ = 190859338368.

The previous prime is 668102769421. The next prime is 668102769461. The reversal of 668102769432 is 234967201866.

668102769432 is a `hidden beast` number, since 66 + 81 + 0 + 2 + 76 + 9 + 432 = 666.

It is a super-2 number, since 2×6681027694322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12157794 + ... + 12212622.

It is an arithmetic number, because the mean of its divisors is an integer number (16572367500).

Almost surely, 2668102769432 is an apocalyptic number.

It is an amenable number.

668102769432 is an abundant number, since it is smaller than the sum of its proper divisors (1453160270568).

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

668102769432 is a wasteful number, since it uses less digits than its factorization.

668102769432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62910 (or 62900 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 668102769432 in words is "six hundred sixty-eight billion, one hundred two million, seven hundred sixty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 8059 16118 24177 32236 48354 54829 56413 64472 72531 96708 109658 112826 145062 164487 169239 193416 217593 219316 225652 290124 328974 338478 383803 435186 438632 451304 493461 507717 580248 657948 676956 767606 870372 986922 1015434 1151409 1315896 1353912 1480383 1523151 1535212 1740744 1973844 2030868 2302818 2960766 3046302 3070424 3454227 3947688 4061736 4605636 5921532 6092604 6908454 9211272 10362681 11843064 12185208 13816908 20725362 27633816 41450724 82901448 441866911 883733822 1325600733 1767467644 2651201466 3093068377 3534935288 3976802199 5302402932 6186136754 7953604398 9279205131 10604805864 11930406597 12372273508 15907208796 18558410262 23860813194 24744547016 27837615393 31814417592 37116820524 47721626388 55675230786 74233641048 83512846179 95443252776 111350461572 167025692358 222700923144 334051384716 668102769432