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376312033680 = 243511389366433
BaseRepresentation
bin1010111100111011111…
…00011111000110010000
31022222022211111000000220
411132131330133012100
522131141340034210
6444513024513040
736121235336502
oct5363574370620
91288284430026
10376312033680
11135658372730
1260b2217b780
1329641b9421b
14142dc18dd72
159bc6ee1c70
hex579df1f190

376312033680 has 160 divisors (see below), whose sum is σ = 1275893873280. Its totient is φ = 90992394240.

The previous prime is 376312033673. The next prime is 376312033723. The reversal of 376312033680 is 86330213673.

It is a happy number.

It is a super-2 number, since 2×3763120336802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843744 + ... + 1210176.

It is an arithmetic number, because the mean of its divisors is an integer number (7974336708).

Almost surely, 2376312033680 is an apocalyptic number.

376312033680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376312033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637946936640).

376312033680 is an abundant number, since it is smaller than the sum of its proper divisors (899581839600).

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

376312033680 is a wasteful number, since it uses less digits than its factorization.

376312033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366849 (or 366843 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 376312033680 in words is "three hundred seventy-six billion, three hundred twelve million, thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 389 440 528 660 778 880 1167 1320 1556 1945 2334 2640 3112 3890 4279 4668 5835 6224 7780 8558 9336 11670 12837 15560 17116 18672 21395 23340 25674 31120 34232 42790 46680 51348 64185 68464 85580 93360 102696 128370 171160 205392 256740 342320 366433 513480 732866 1026960 1099299 1465732 1832165 2198598 2931464 3664330 4030763 4397196 5496495 5862928 7328660 8061526 8794392 10992990 12092289 14657320 16123052 17588784 20153815 21985980 24184578 29314640 32246104 40307630 43971960 48369156 60461445 64492208 80615260 87943920 96738312 120922890 142542437 161230520 193476624 241845780 285084874 322461040 427627311 483691560 570169748 712712185 855254622 967383120 1140339496 1425424370 1567966807 1710509244 2138136555 2280678992 2850848740 3135933614 3421018488 4276273110 4703900421 5701697480 6271867228 6842036976 7839834035 8552546220 9407800842 11403394960 12543734456 15679668070 17105092440 18815601684 23519502105 25087468912 31359336140 34210184880 37631203368 47039004210 62718672280 75262406736 94078008420 125437344560 188156016840 376312033680