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41162666706 = 2327798115099
BaseRepresentation
bin100110010101011111…
…000111001011010010
310221020200211010101100
4212111133013023102
51133300120313311
630524310445230
72655022615440
oct462537071322
9127220733340
1041162666706
1116503285817
127b89363816
133b5cc04c25
141dc6b7db90
15110daeaa56
hex9957c72d2

41162666706 has 96 divisors (see below), whose sum is σ = 103364352000. Its totient is φ = 11595299040.

The previous prime is 41162666687. The next prime is 41162666719. The reversal of 41162666706 is 60766626114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8070145 + ... + 8075243.

It is an arithmetic number, because the mean of its divisors is an integer number (1076712000).

Almost surely, 241162666706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41162666706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51682176000).

41162666706 is an abundant number, since it is smaller than the sum of its proper divisors (62201685294).

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

41162666706 is a wasteful number, since it uses less digits than its factorization.

41162666706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 41162666706 in words is "forty-one billion, one hundred sixty-two million, six hundred sixty-six thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 811 1106 1422 1622 1659 2433 3318 4866 4977 5099 5677 7299 9954 10198 11354 14598 15297 17031 30594 34062 35693 45891 51093 64069 71386 91782 102186 107079 128138 192207 214158 321237 384414 402821 448483 576621 642474 805642 896966 1153242 1208463 1345449 2416926 2690898 2819747 3625389 4036347 4135289 5639494 7250778 8072694 8270578 8459241 12405867 16918482 24811734 25377723 28947023 37217601 50755446 57894046 74435202 86841069 173682138 260523207 326687831 521046414 653375662 980063493 1960126986 2286814817 2940190479 4573629634 5880380958 6860444451 13720888902 20581333353 41162666706