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12400485528 = 233612191727
BaseRepresentation
bin10111000110010000…
…00110010010011000
31012000012200221012210
423203020012102120
5200344011014103
65410253235120
7616203250014
oct134310062230
935005627183
1012400485528
115293829352
1224a0a92aa0
131228116102
14858cab544
154c89cce03
hex2e3206498

12400485528 has 96 divisors (see below), whose sum is σ = 31726356480. Its totient is φ = 4038883200.

The previous prime is 12400485497. The next prime is 12400485551. The reversal of 12400485528 is 82558400421.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17056701 + ... + 17057427.

It is an arithmetic number, because the mean of its divisors is an integer number (330482880).

Almost surely, 212400485528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400485528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863178240).

12400485528 is an abundant number, since it is smaller than the sum of its proper divisors (19325870952).

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

12400485528 is a wasteful number, since it uses less digits than its factorization.

12400485528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

Adding to 12400485528 its reverse (82558400421), we get a palindrome (94958885949).

The spelling of 12400485528 in words is "twelve billion, four hundred million, four hundred eighty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 191 244 366 382 488 573 727 732 764 1146 1454 1464 1528 2181 2292 2908 3721 4362 4584 5816 7442 8724 11163 11651 14884 17448 22326 23302 29768 34953 44347 44652 46604 69906 88694 89304 93208 133041 138857 139812 177388 266082 277714 279624 354776 416571 532164 555428 710711 833142 1064328 1110856 1421422 1666284 2132133 2705167 2842844 3332568 4264266 5410334 5685688 8115501 8470277 8528532 10820668 16231002 16940554 17057064 21641336 25410831 32462004 33881108 50821662 64924008 67762216 101643324 203286648 516686897 1033373794 1550060691 2066747588 3100121382 4133495176 6200242764 12400485528