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10157361736756 = 2213172757892861
BaseRepresentation
bin1001001111001111000111…
…1100000010110000110100
31022222000221000002202000211
42103303301330002300310
52312404234101034011
633334121053115204
72065562615134033
oct223636174026064
938860830082024
1010157361736756
113266792997a33
121180693a88b04
13588ab1946020
142718944c071a
15129339e92b21
hex93cf1f02c34

10157361736756 has 72 divisors (see below), whose sum is σ = 20361885768056. Its totient is φ = 4406414100480.

The previous prime is 10157361736651. The next prime is 10157361736757. The reversal of 10157361736756 is 65763716375101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2654879184400 + 7502482552356 = 1629380^2 + 2739066^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10157361736756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157361736757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10929766 + ... + 11822626.

Almost surely, 210157361736756 is an apocalyptic number.

It is an amenable number.

10157361736756 is an abundant number, since it is smaller than the sum of its proper divisors (10204524031300).

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

10157361736756 is a wasteful number, since it uses less digits than its factorization.

10157361736756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893669 (or 893650 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 58.

The spelling of 10157361736756 in words is "ten trillion, one hundred fifty-seven billion, three hundred sixty-one million, seven hundred thirty-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 757 884 1156 1514 3028 3757 7514 9841 12869 15028 19682 25738 39364 51476 167297 218773 334594 437546 669188 875092 892861 1785722 2844049 3571444 5688098 11376196 11607193 15178637 23214386 30357274 46428772 60714548 197322281 258036829 394644562 516073658 675895777 789289124 1032147316 1351791554 2703583108 3354478777 6708957554 8786645101 11490228209 13417915108 17573290202 22980456418 35146580404 45960912836 149372966717 195333879553 298745933434 390667759106 597491866868 781335518212 2539340434189 5078680868378 10157361736756