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68680684900 = 22527323592
BaseRepresentation
bin111111111101101100…
…000001010101100100
320120021110211021210101
4333331230001111210
52111124223404100
651315041233444
74650654121642
oct777554012544
9216243737711
1068680684900
1127144502113
1211389032884
136627008c29
143477708192
151bbe8a786a
hexffdb01564

68680684900 has 81 divisors (see below), whose sum is σ = 151528739691. Its totient is φ = 27020465280.

The previous prime is 68680684867. The next prime is 68680684901. The reversal of 68680684900 is 948608686.

It is a happy number.

The square root of 68680684900 is 262070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 375816996 + 68304867904 = 19386^2 + 261352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68680684901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191310921 + ... + 191311279.

Almost surely, 268680684900 is an apocalyptic number.

68680684900 is the 262070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68680684900

68680684900 is an abundant number, since it is smaller than the sum of its proper divisors (82848054791).

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

68680684900 is an equidigital number, since it uses as much as digits as its factorization.

68680684900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 68680684900 in words is "sixty-eight billion, six hundred eighty million, six hundred eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 359 365 718 730 1436 1460 1795 1825 3590 3650 5329 7180 7300 8975 10658 17950 21316 26207 26645 35900 52414 53290 104828 106580 128881 131035 133225 257762 262070 266450 515524 524140 532900 644405 655175 1288810 1310350 1913111 2577620 2620700 3222025 3826222 6444050 7652444 9408313 9565555 12888100 18816626 19131110 37633252 38262220 47041565 47827775 94083130 95655550 188166260 191311100 235207825 470415650 686806849 940831300 1373613698 2747227396 3434034245 6868068490 13736136980 17170171225 34340342450 68680684900