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10441950552 = 2332113108961
BaseRepresentation
bin10011011100110001…
…11000010101011000
3222221201101001022100
421232120320111120
5132341114404202
64444051123400
7516522054345
oct115630702530
928851331270
1010441950552
114479233000
122034ba3560
13ca5429387
14710b277cc
15411aab41c
hex26e638558

10441950552 has 96 divisors (see below), whose sum is σ = 31106471760. Its totient is φ = 3164198400.

The previous prime is 10441950551. The next prime is 10441950553. The reversal of 10441950552 is 25505914401.

10441950552 is a `hidden beast` number, since 1 + 0 + 44 + 19 + 50 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (10441950551) and next prime (10441950553).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441950551) 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, 41352 + ... + 150312.

Almost surely, 210441950552 is an apocalyptic number.

10441950552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441950552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553235880).

10441950552 is an abundant number, since it is smaller than the sum of its proper divisors (20664521208).

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

10441950552 is a wasteful number, since it uses less digits than its factorization.

10441950552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109006 (or 108977 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10441950552 in words is "ten billion, four hundred forty-one million, nine hundred fifty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 108961 217922 326883 435844 653766 871688 980649 1198571 1307532 1961298 2397142 2615064 3595713 3922596 4794284 7191426 7845192 9588568 10787139 13184281 14382852 21574278 26368562 28765704 39552843 43148556 52737124 79105686 86297112 105474248 118658529 145027091 158211372 237317058 290054182 316422744 435081273 474634116 580108364 870162546 949268232 1160216728 1305243819 1740325092 2610487638 3480650184 5220975276 10441950552