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41397192369 = 34132372472
BaseRepresentation
bin100110100011011101…
…110000011010110001
310221212001010021010000
4212203131300122301
51134240140123434
631003445300213
72663601220641
oct464335603261
9127761107100
1041397192369
11166136aa385
128033a04669
133b9968a100
142009d8c521
1511244c4b99
hex9a37706b1

41397192369 has 135 divisors (see below), whose sum is σ = 70317288657. Its totient is φ = 24259300416.

The previous prime is 41397192313. The next prime is 41397192383. The reversal of 41397192369 is 96329179314.

It is a happy number.

The square root of 41397192369 is 203463.

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

41397192369 is a `hidden beast` number, since 4 + 1 + 3 + 97 + 192 + 369 = 666.

41397192369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 171950769 + 41225241600 = 13113^2 + 203040^2 .

It is not a de Polignac number, because 41397192369 - 219 = 41396668081 is a prime.

It is a super-2 number, since 2×413971923692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41397192869) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 880791304 + ... + 880791350.

Almost surely, 241397192369 is an apocalyptic number.

41397192369 is the 203463-rd square number.

41397192369 is the 101732-nd centered octagonal number.

It is an amenable number.

41397192369 is a deficient number, since it is larger than the sum of its proper divisors (28920096288).

41397192369 is an equidigital number, since it uses as much as digits as its factorization.

41397192369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 100 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 41397192369 in words is "forty-one billion, three hundred ninety-seven million, one hundred ninety-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 13 27 37 39 47 81 111 117 141 169 333 351 423 481 507 611 999 1053 1269 1369 1443 1521 1739 1833 2209 2997 3807 4107 4329 4563 5217 5499 6253 6627 7943 12321 12987 13689 15651 16497 17797 18759 19881 22607 23829 28717 36963 38961 46953 49491 53391 56277 59643 64343 67821 71487 81733 86151 110889 140859 160173 168831 178929 193029 203463 214461 231361 245199 258453 293891 373321 480519 506493 579087 610389 643383 694083 735597 775359 836459 881673 1062529 1119963 1441557 1737261 1831167 2082249 2206791 2326077 2509377 2645019 3024121 3187587 3359889 5211783 6246747 6620373 7528131 7935057 9072363 9562761 10079667 10873967 13812877 18740241 22584393 23805171 27217089 28688283 30239001 32621901 39313573 41438631 67753179 81651267 86064849 97865703 117940719 124315893 244953801 293597109 353822157 372947679 511076449 880791327 1061466471 1118843037 1533229347 3184399413 4599688041 13799064123 41397192369