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41323503006 = 23231199563661
BaseRepresentation
bin100110011111000100…
…101001110110011110
310221122220110110022100
4212133010221312132
51134112304044011
630552254025530
72662014660102
oct463704516636
9127586413270
1041323503006
1116586049485
1280131a82a6
133b87329236
142000289902
15111ccbad56
hex99f129d9e

41323503006 has 96 divisors (see below), whose sum is σ = 93192652800. Its totient is φ = 13219588800.

The previous prime is 41323502993. The next prime is 41323503007. The reversal of 41323503006 is 60030532314.

It is a happy number.

41323503006 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 350 + 300 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41323503007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62516316 + ... + 62516976.

It is an arithmetic number, because the mean of its divisors is an integer number (970756800).

Almost surely, 241323503006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41323503006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46596326400).

41323503006 is an abundant number, since it is smaller than the sum of its proper divisors (51869149794).

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

41323503006 is a wasteful number, since it uses less digits than its factorization.

41323503006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 41323503006 in words is "forty-one billion, three hundred twenty-three million, five hundred three thousand, six".

Divisors: 1 2 3 6 9 18 31 62 93 186 199 279 398 558 563 597 661 1126 1194 1322 1689 1791 1983 3378 3582 3966 5067 5949 6169 10134 11898 12338 17453 18507 20491 34906 37014 40982 52359 55521 61473 104718 111042 112037 122946 131539 157077 184419 224074 263078 314154 336111 368838 372143 394617 672222 744286 789234 1008333 1116429 1183851 2016666 2232858 2367702 3349287 3473147 4077709 6698574 6946294 8155418 10419441 11536433 12233127 20838882 23072866 24466254 31258323 34609299 36699381 62516646 69218598 73398762 74056457 103827897 148112914 207655794 222169371 444338742 666508113 1333016226 2295750167 4591500334 6887250501 13774501002 20661751503 41323503006