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41451436220706 = 23223532779967957
BaseRepresentation
bin10010110110011001010100…
…01000011010000100100010
312102202201101212020112211200
421123030222020122010202
520413120020133030311
6224054305451422030
711505524142256641
oct1133145210320442
9172681355215750
1041451436220706
1112231501123276
124795696154916
131a18b13662395
14a34390075358
154bd3a886d556
hex25b32a21a122

41451436220706 has 96 divisors (see below), whose sum is σ = 95489362425600. Its totient is φ = 12966376655232.

The previous prime is 41451436220693. The next prime is 41451436220791. The reversal of 41451436220706 is 60702263415414.

41451436220706 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 1 + 436 + 2 + 207 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609931680 + ... + 609999636.

It is an arithmetic number, because the mean of its divisors is an integer number (994680858600).

Almost surely, 241451436220706 is an apocalyptic number.

41451436220706 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41451436220706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744681212800).

41451436220706 is an abundant number, since it is smaller than the sum of its proper divisors (54037926204894).

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

41451436220706 is a wasteful number, since it uses less digits than its factorization.

41451436220706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95840 (or 95837 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 41451436220706 in words is "forty-one trillion, four hundred fifty-one billion, four hundred thirty-six million, two hundred twenty thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 954 1219 2438 3657 7314 10971 21942 27799 55598 67957 83397 135914 166794 203871 250191 407742 500382 611613 639377 1223226 1278754 1473347 1563011 1918131 2946694 3126022 3601721 3836262 4420041 4689033 5754393 7203442 8840082 9378066 10805163 11508786 13260123 14067099 21610326 26520246 28134198 32415489 33886981 64830978 67773962 82839583 101660943 165679166 203321886 248518749 304982829 497037498 609965658 745556247 1491112494 1889136643 3778273286 5667409929 11334819858 17002229787 34004459574 43450142789 86900285578 100124242079 130350428367 200248484158 260700856734 300372726237 391051285101 600745452474 782102570202 901118178711 1802236357422 2302857567817 4605715135634 6908572703451 13817145406902 20725718110353 41451436220706