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10463312000 = 2753837879
BaseRepresentation
bin10011011111010100…
…10111100010000000
31000000012120022201002
421233222113202000
5132412101441000
64450133031132
7520201453541
oct115752274200
930005508632
1010463312000
11448a2a3199
1220401854a8
13ca999839b
147138c84c8
154138ca8d5
hex26fa97880

10463312000 has 128 divisors (see below), whose sum is σ = 26331177600. Its totient is φ = 4134374400.

The previous prime is 10463311987. The next prime is 10463312011. The reversal of 10463312000 is 21336401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324061 + ... + 1331939.

It is an arithmetic number, because the mean of its divisors is an integer number (205712325).

Almost surely, 210463312000 is an apocalyptic number.

10463312000 is a gapful number since it is divisible by the number (10) 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 10463312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165588800).

10463312000 is an abundant number, since it is smaller than the sum of its proper divisors (15867865600).

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

10463312000 is an frugal number, since it uses more digits than its factorization.

10463312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10463312000 its reverse (21336401), we get a palindrome (10484648401).

The spelling of 10463312000 in words is "ten billion, four hundred sixty-three million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 320 332 400 415 500 640 664 800 830 1000 1328 1600 1660 2000 2075 2656 3200 3320 4000 4150 5312 6640 7879 8000 8300 10375 10624 13280 15758 16000 16600 20750 26560 31516 33200 39395 41500 53120 63032 66400 78790 83000 126064 132800 157580 166000 196975 252128 265600 315160 332000 393950 504256 630320 653957 664000 787900 984875 1008512 1260640 1307914 1328000 1575800 1969750 2521280 2615828 3151600 3269785 3939500 5042560 5231656 6303200 6539570 7879000 10463312 12606400 13079140 15758000 16348925 20926624 25212800 26158280 31516000 32697850 41853248 52316560 63032000 65395700 81744625 83706496 104633120 126064000 130791400 163489250 209266240 261582800 326978500 418532480 523165600 653957000 1046331200 1307914000 2092662400 2615828000 5231656000 10463312000