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41379362568 = 233482977029
BaseRepresentation
bin100110100010011001…
…101111011100001000
310221210210120102020000
4212202121233130020
51134221104100233
631002011203000
72663263531005
oct464231573410
9127723512200
1041379362568
1116604631605
128029a46460
133b95a8672b
14200786a8ac
151122b51d13
hex9a266f708

41379362568 has 80 divisors (see below), whose sum is σ = 116041843500. Its totient is φ = 13776303744.

The previous prime is 41379362561. The next prime is 41379362573. The reversal of 41379362568 is 86526397314.

41379362568 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 9 + 3 + 625 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38855505924 + 2523856644 = 197118^2 + 50238^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41379362561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 498678 + ... + 575706.

Almost surely, 241379362568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41379362568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58020921750).

41379362568 is an abundant number, since it is smaller than the sum of its proper divisors (74662480932).

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

41379362568 is a wasteful number, since it uses less digits than its factorization.

41379362568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77876 (or 77863 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 41379362568 in words is "forty-one billion, three hundred seventy-nine million, three hundred sixty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 829 1658 2487 3316 4974 6632 7461 9948 14922 19896 22383 29844 44766 59688 67149 77029 89532 134298 154058 179064 231087 268596 308116 462174 537192 616232 693261 924348 1386522 1848696 2079783 2773044 4159566 5546088 6239349 8319132 12478698 16638264 24957396 49914792 63857041 127714082 191571123 255428164 383142246 510856328 574713369 766284492 1149426738 1532568984 1724140107 2298853476 3448280214 4597706952 5172420321 6896560428 10344840642 13793120856 20689681284 41379362568