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10425511440 = 2432514479877
BaseRepresentation
bin10011011010110100…
…01010111000010000
3222220120102212002100
421231122022320100
5132322412331230
64442302520400
7516232246041
oct115532127020
928816385070
1010425511440
11446aa25063
12202b596100
13ca1bc19a6
1470c8888c8
15410410660
hex26d68ae10

10425511440 has 60 divisors (see below), whose sum is σ = 35012345004. Its totient is φ = 2780136192.

The previous prime is 10425511433. The next prime is 10425511469. The reversal of 10425511440 is 4411552401.

10425511440 is a `hidden beast` number, since 104 + 2 + 5 + 511 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2565625104 + 7859886336 = 50652^2 + 88656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7239219 + ... + 7240658.

Almost surely, 210425511440 is an apocalyptic number.

10425511440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10425511440 is an abundant number, since it is smaller than the sum of its proper divisors (24586833564).

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

10425511440 is a wasteful number, since it uses less digits than its factorization.

10425511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14479896 (or 14479887 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10425511440 in words is "ten billion, four hundred twenty-five million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14479877 28959754 43439631 57919508 72399385 86879262 115839016 130318893 144798770 173758524 217198155 231678032 260637786 289597540 347517048 434396310 521275572 579195080 651594465 695034096 868792620 1042551144 1158390160 1303188930 1737585240 2085102288 2606377860 3475170480 5212755720 10425511440