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10681641150 = 2352712713701
BaseRepresentation
bin10011111001010110…
…01110100010111110
31000120102101120222220
421330223032202332
5133334000004100
64523532350210
7525462310635
oct117453164276
930512346886
1010681641150
114591565104
1220a1315366
131012c9c42b
147348bc51c
15427b55aa0
hex27cace8be

10681641150 has 96 divisors (see below), whose sum is σ = 26969988096. Its totient is φ = 2797200000.

The previous prime is 10681641053. The next prime is 10681641151. The reversal of 10681641150 is 5114618601.

It is a super-2 number, since 2×106816411502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681641151) 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, 2884300 + ... + 2888000.

It is an arithmetic number, because the mean of its divisors is an integer number (280937376).

Almost surely, 210681641150 is an apocalyptic number.

10681641150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681641150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484994048).

10681641150 is an abundant number, since it is smaller than the sum of its proper divisors (16288346946).

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

10681641150 is a wasteful number, since it uses less digits than its factorization.

10681641150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 10681641150 in words is "ten billion, six hundred eighty-one million, six hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 271 355 426 542 710 813 1065 1355 1626 1775 2130 2710 3550 3701 4065 5325 6775 7402 8130 10650 11103 13550 18505 19241 20325 22206 37010 38482 40650 55515 57723 92525 96205 111030 115446 185050 192410 262771 277575 288615 481025 525542 555150 577230 788313 962050 1002971 1313855 1443075 1576626 2005942 2627710 2886150 3008913 3941565 5014855 6017826 6569275 7883130 10029710 13138550 15044565 19707825 25074275 30089130 39415650 50148550 71210941 75222825 142421882 150445650 213632823 356054705 427265646 712109410 1068164115 1780273525 2136328230 3560547050 5340820575 10681641150