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5763104941 = 1117313797277
BaseRepresentation
bin1010101111000001…
…00000000010101101
3112212122022001202011
411113200200002231
543300323324231
62351511201221
7262546404136
oct52740400255
915778261664
105763104941
112498139050
12114a076211
1370ac94289
143c9584c8d
1523ae419b1
hex1578200ad

5763104941 has 64 divisors (see below), whose sum is σ = 7155800064. Its totient is φ = 4578508800.

The previous prime is 5763104923. The next prime is 5763104957. The reversal of 5763104941 is 1494013675.

It is a 8-Lehmer number, since φ(5763104941) divides (5763104941-1)8.

It is a cyclic number.

It is not a de Polignac number, because 5763104941 - 227 = 5628887213 is a prime.

It is a super-2 number, since 2×57631049412 = 66426757121957226962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5763104894 and 5763104903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5763104341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20805295 + ... + 20805571.

It is an arithmetic number, because the mean of its divisors is an integer number (111809376).

It is a vampire number, since it can be written as 6101394457 (with its own digits).

Almost surely, 25763104941 is an apocalyptic number.

It is an amenable number.

5763104941 is a deficient number, since it is larger than the sum of its proper divisors (1392695123).

5763104941 is a wasteful number, since it uses less digits than its factorization.

5763104941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 5763104941 is about 75915.1166830428. The cubic root of 5763104941 is about 1792.8839356106.

The spelling of 5763104941 in words is "five billion, seven hundred sixty-three million, one hundred four thousand, nine hundred forty-one".

Divisors: 1 11 17 31 37 97 187 277 341 407 527 629 1067 1147 1649 3007 3047 3589 4709 5797 6919 8587 10249 12617 18139 19499 26869 33077 39479 51119 51799 61013 94457 111259 112739 145979 174233 214489 295559 317719 456773 562309 671143 832939 994153 1223849 1605769 1891403 1916563 3494909 5024503 5401223 9162329 10935683 14159963 16900601 20805433 30818743 59413453 155759593 185906611 339006173 523918631 5763104941