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10486984944 = 2431973157519
BaseRepresentation
bin10011100010001001…
…01011000011110000
31000001212010000212210
421301010223003300
5132434132004234
64452340252120
7520606621062
oct116104530360
930055100783
1010486984944
1144a16a2007
1220480a1040
13cb1866547
14716acb732
15415a04be9
hex27112b0f0

10486984944 has 80 divisors (see below), whose sum is σ = 28908070400. Its totient is φ = 3266293248.

The previous prime is 10486984943. The next prime is 10486984951. The reversal of 10486984944 is 44948968401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486984943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12184 + ... + 145335.

It is an arithmetic number, because the mean of its divisors is an integer number (361350880).

Almost surely, 210486984944 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 10486984944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454035200).

10486984944 is an abundant number, since it is smaller than the sum of its proper divisors (18421085456).

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

10486984944 is a wasteful number, since it uses less digits than its factorization.

10486984944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157622 (or 157616 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 10486984944 in words is "ten billion, four hundred eighty-six million, nine hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 438 456 584 876 912 1168 1387 1752 2774 3504 4161 5548 8322 11096 16644 22192 33288 66576 157519 315038 472557 630076 945114 1260152 1890228 2520304 2992861 3780456 5985722 7560912 8978583 11498887 11971444 17957166 22997774 23942888 34496661 35914332 45995548 47885776 68993322 71828664 91991096 137986644 143657328 183982192 218478853 275973288 436957706 551946576 655436559 873915412 1310873118 1747830824 2621746236 3495661648 5243492472 10486984944