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681648468300 = 2232524716114621
BaseRepresentation
bin10011110101101010110…
…10100011000101001100
32102011110020211222212200
421322311122203011030
542132004001441200
61241051152201500
7100150612244442
oct11726532430514
92364406758780
10681648468300
112430a3876278
12b0136839290
134c382468247
1424dc5d2cb92
1512ae7e11800
hex9eb56a314c

681648468300 has 108 divisors (see below), whose sum is σ = 2182048735776. Its totient is φ = 177905404800.

The previous prime is 681648468269. The next prime is 681648468307. The reversal of 681648468300 is 3864846186.

681648468300 is a `hidden beast` number, since 6 + 81 + 6 + 484 + 6 + 83 + 0 + 0 = 666.

681648468300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6816484683002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681648468307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8015011 + ... + 8099610.

Almost surely, 2681648468300 is an apocalyptic number.

681648468300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681648468300 is an abundant number, since it is smaller than the sum of its proper divisors (1500400267476).

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

681648468300 is a wasteful number, since it uses less digits than its factorization.

681648468300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114688 (or 16114678 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 681648468300 in words is "six hundred eighty-one billion, six hundred forty-eight million, four hundred sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 2115 2350 2820 3525 4230 4700 7050 8460 10575 14100 21150 42300 16114621 32229242 48343863 64458484 80573105 96687726 145031589 161146210 193375452 241719315 290063178 322292420 402865525 483438630 580126356 725157945 757387187 805731050 966877260 1208596575 1450315890 1514774374 1611462100 2272161561 2417193150 2900631780 3029548748 3625789725 3786935935 4544323122 4834386300 6816484683 7251579450 7573871870 9088646244 11360807805 13632969366 14503158900 15147743740 18934679675 22721615610 27265938732 34082423415 37869359350 45443231220 56804039025 68164846830 75738718700 113608078050 136329693660 170412117075 227216156100 340824234150 681648468300