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68298595600 = 24527321792
BaseRepresentation
bin111111100110111010…
…011101110100010000
320112021211212010210211
4333212322131310100
52104333420024400
651213111533504
74635334324654
oct774672356420
9215254763724
1068298595600
1126a6885a834
12112a108a294
136595ac8aa1
14343ca86a64
151b9b080dba
hexfe6e9dd10

68298595600 has 135 divisors (see below), whose sum is σ = 167300550543. Its totient is φ = 26794667520.

The previous prime is 68298595597. The next prime is 68298595661. The reversal of 68298595600 is 659589286.

The square root of 68298595600 is 261340.

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 373726224 + 67924869376 = 19332^2 + 260624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 381556311 + ... + 381556489.

Almost surely, 268298595600 is an apocalyptic number.

68298595600 is the 261340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68298595600

68298595600 is an abundant number, since it is smaller than the sum of its proper divisors (99001954943).

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

68298595600 is an equidigital number, since it uses as much as digits as its factorization.

68298595600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 68298595600 in words is "sixty-eight billion, two hundred ninety-eight million, five hundred ninety-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 179 200 292 358 365 400 584 716 730 895 1168 1432 1460 1790 1825 2864 2920 3580 3650 4475 5329 5840 7160 7300 8950 10658 13067 14320 14600 17900 21316 26134 26645 29200 32041 35800 42632 52268 53290 64082 65335 71600 85264 104536 106580 128164 130670 133225 160205 209072 213160 256328 261340 266450 320410 326675 426320 512656 522680 532900 640820 653350 801025 953891 1045360 1065800 1281640 1306700 1602050 1907782 2131600 2338993 2563280 2613400 3204100 3815564 4677986 4769455 5226800 6408200 7631128 9355972 9538910 11694965 12816400 15262256 18711944 19077820 23389930 23847275 37423888 38155640 46779860 47694550 58474825 76311280 93559720 95389100 116949650 170746489 187119440 190778200 233899300 341492978 381556400 467798600 682985956 853732445 935597200 1365971912 1707464890 2731943824 3414929780 4268662225 6829859560 8537324450 13659719120 17074648900 34149297800 68298595600