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73050713274841 = 172139236172
BaseRepresentation
bin10000100111000001110001…
…110100001011100111011001
3100120122120122210212100000021
4100213001301310023213121
534033330330044243331
6415211011232310441
721246511526433301
oct2047016164134731
9316576583770007
1073050713274841
11213046a7240895
1282398740a2421
13319b863cb3033
14140795dac0601
1586a33b525211
hex427071d0b9d9

73050713274841 has 27 divisors (see below), whose sum is σ = 78184494501789. Its totient is φ = 68240110476288.

The previous prime is 73050713274829. The next prime is 73050713275061. The reversal of 73050713274841 is 14847231705037.

The square root of 73050713274841 is 8546971.

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 12113330337241 + 60937382937600 = 3480421^2 + 7806240^2 .

It is a de Polignac number, because none of the positive numbers 2k-73050713274841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73050713274811) 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, 20196490665 + ... + 20196494281.

Almost surely, 273050713274841 is an apocalyptic number.

73050713274841 is the 8546971-st square number.

73050713274841 is the 4273486-th centered octagonal number.

It is an amenable number.

73050713274841 is a deficient number, since it is larger than the sum of its proper divisors (5133781226948).

73050713274841 is an frugal number, since it uses more digits than its factorization.

73050713274841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

Adding to 73050713274841 its reverse (14847231705037), we get a palindrome (87897944979878).

The spelling of 73050713274841 in words is "seventy-three trillion, fifty billion, seven hundred thirteen million, two hundred seventy-four thousand, eight hundred forty-one".

Divisors: 1 17 139 289 2363 3617 19321 40171 61489 328457 502763 1045313 5583769 8546971 13082689 69884057 145298507 222405713 1188028969 1818493771 3780897121 20196492473 30914394107 252770634169 525544699819 4297100780873 73050713274841