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541716608196 = 223224125092
BaseRepresentation
bin1111110001000001101…
…00110111010011000100
31220210021011100222111100
413320200310313103010
532333413422430241
61052510002540100
754065146123641
oct7704064672304
91823234328440
10541716608196
111998169a26a5
1288ba3967630
133c111a4321a
141c30d79adc8
15e15819e9b6
hex7e20d374c4

541716608196 has 81 divisors (see below), whose sum is σ = 1377751456263. Its totient is φ = 179469653760.

The previous prime is 541716608141. The next prime is 541716608201. The reversal of 541716608196 is 691806617145.

The square root of 541716608196 is 736014.

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

541716608196 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 16 + 608 + 19 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 174044158596 + 367672449600 = 417186^2 + 606360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1064275990 + ... + 1064276498.

Almost surely, 2541716608196 is an apocalyptic number.

541716608196 is the 736014-th square number.

It is an amenable number.

541716608196 is an abundant number, since it is smaller than the sum of its proper divisors (836034848067).

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

541716608196 is an equidigital number, since it uses as much as digits as its factorization.

541716608196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 541716608196 in words is "five hundred forty-one billion, seven hundred sixteen million, six hundred eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 509 723 964 1018 1446 1527 2036 2169 2892 3054 4338 4581 6108 8676 9162 18324 58081 116162 122669 174243 232324 245338 259081 348486 368007 490676 518162 522729 696972 736014 777243 1036324 1045458 1104021 1472028 1554486 2090916 2208042 2331729 3108972 4416084 4663458 9326916 29563229 59126458 62438521 88689687 118252916 124877042 177379374 187315563 249754084 266069061 354758748 374631126 532138122 561946689 749262252 1064276244 1123893378 2247786756 15047683561 30095367122 45143050683 60190734244 90286101366 135429152049 180572202732 270858304098 541716608196