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668132333640 = 2332516189114641
BaseRepresentation
bin10011011100011111100…
…10100101100001001000
32100212120021212012202200
421232033302211201020
541421313334134030
61230534042400200
766161641063152
oct11561762454110
92325507765680
10668132333640
11238398314252
12a95a4200060
134b00a182525
14244a2c0bad2
15125a650ad60
hex9b8fca5848

668132333640 has 96 divisors (see below), whose sum is σ = 2171583156600. Its totient is φ = 178156062720.

The previous prime is 668132333629. The next prime is 668132333651. The reversal of 668132333640 is 46333231866.

It is an interprime number because it is at equal distance from previous prime (668132333629) and next prime (668132333651).

It can be written as a sum of positive squares in 4 ways, for example, as 601763238756 + 66369094884 = 775734^2 + 257622^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 5770720 + ... + 5885360.

Almost surely, 2668132333640 is an apocalyptic number.

668132333640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668132333640 is an abundant number, since it is smaller than the sum of its proper divisors (1503450822960).

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

668132333640 is a wasteful number, since it uses less digits than its factorization.

668132333640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130847 (or 130840 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 668132333640 in words is "six hundred sixty-eight billion, one hundred thirty-two million, three hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 16189 32378 48567 64756 80945 97134 114641 129512 145701 161890 194268 229282 242835 291402 323780 343923 388536 458564 485670 573205 582804 647560 687846 728505 917128 971340 1031769 1146410 1165608 1375692 1457010 1719615 1942680 2063538 2292820 2751384 2914020 3439230 4127076 4585640 5158845 5828040 6878460 8254152 10317690 13756920 20635380 41270760 1855923149 3711846298 5567769447 7423692596 9279615745 11135538894 14847385192 16703308341 18559231490 22271077788 27838847235 33406616682 37118462980 44542155576 55677694470 66813233364 74236925960 83516541705 111355388940 133626466728 167033083410 222710777880 334066166820 668132333640