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68192010496 = 281928592
BaseRepresentation
bin111111100000100011…
…111000000100000000
320112000102022001112101
4333200203320010000
52104124123313441
651154343240144
74632601345141
oct774043700400
9215012261471
1068192010496
1126a13680875
1211271449054
1365799bab8c
14342c85dac8
151b91a2a231
hexfe08f8100

68192010496 has 81 divisors (see below), whose sum is σ = 143826224031. Its totient is φ = 32263875072.

The previous prime is 68192010443. The next prime is 68192010517. The reversal of 68192010496 is 69401029186.

It is a happy number.

The square root of 68192010496 is 261136.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79384915 + ... + 79385773.

Almost surely, 268192010496 is an apocalyptic number.

68192010496 is the 261136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68192010496

68192010496 is an abundant number, since it is smaller than the sum of its proper divisors (75634213535).

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

68192010496 is an frugal number, since it uses more digits than its factorization.

68192010496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 68192010496 in words is "sixty-eight billion, one hundred ninety-two million, ten thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 859 1216 1444 1718 2432 2888 3436 4864 5776 6872 11552 13744 16321 23104 27488 32642 46208 54976 65284 92416 109952 130568 219904 261136 310099 522272 620198 737881 1044544 1240396 1475762 2089088 2480792 2951524 4178176 4961584 5903048 9923168 11806096 14019739 19846336 23612192 28039478 39692672 47224384 56078956 79385344 94448768 112157912 188897536 224315824 266375041 448631648 532750082 897263296 1065500164 1794526592 2131000328 3589053184 4262000656 8524001312 17048002624 34096005248 68192010496