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41928295696 = 24727121032
BaseRepresentation
bin100111000011000111…
…110000010100010000
311000020001111002220121
4213003013300110100
51141332120430241
631132300520024
73013010430100
oct470307602420
9130201432817
1041928295696
1116866480151
128161850014
133c52712431
14205a71d200
151155e33ad1
hex9c31f0510

41928295696 has 135 divisors (see below), whose sum is σ = 96788430423. Its totient is φ = 17544179520.

The previous prime is 41928295693. The next prime is 41928295699. The reversal of 41928295696 is 69659282914.

The square root of 41928295696 is 204764.

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

It is an interprime number because it is at equal distance from previous prime (41928295693) and next prime (41928295699).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41928295691) 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, 407070781 + ... + 407070883.

Almost surely, 241928295696 is an apocalyptic number.

41928295696 is the 204764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41928295696

41928295696 is an abundant number, since it is smaller than the sum of its proper divisors (54860134727).

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

41928295696 is an equidigital number, since it uses as much as digits as its factorization.

41928295696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 183 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The spelling of 41928295696 in words is "forty-one billion, nine hundred twenty-eight million, two hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 103 112 142 196 206 284 392 412 497 568 721 784 824 994 1136 1442 1648 1988 2884 3479 3976 5041 5047 5768 6958 7313 7952 10082 10094 10609 11536 13916 14626 20164 20188 21218 27832 29252 35287 40328 40376 42436 51191 55664 58504 70574 74263 80656 80752 84872 102382 117008 141148 148526 169744 204764 247009 282296 297052 358337 409528 494018 519223 519841 564592 594104 716674 753239 819056 988036 1038446 1039682 1188208 1433348 1506478 1976072 2076892 2079364 2866696 3012956 3634561 3952144 4153784 4158728 5272673 5733392 6025912 7269122 8307568 8317456 10545346 12051824 14538244 21090692 25441927 29076488 36908711 42181384 50883854 53479969 58152976 73817422 84362768 101767708 106959938 147634844 203535416 213919876 295269688 374359783 407070832 427839752 590539376 748719566 855679504 1497439132 2620518481 2994878264 5241036962 5989756528 10482073924 20964147848 41928295696