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1063629192976 = 2472368332
BaseRepresentation
bin11110111101001010011…
…11010111111100010000
310202200102010222100001221
433132211033113330100
5114411303033133401
62132342520534424
7136562502653200
oct17364517277420
93680363870057
101063629192976
1138009aa50399
1215217b321414
13793b888769c
14396a0cc8400
151ca028e57a1
hexf7a53d7f10

1063629192976 has 45 divisors (see below), whose sum is σ = 2397300779541. Its totient is φ = 455828706816.

The previous prime is 1063629192973. The next prime is 1063629193031. The reversal of 1063629192976 is 6792919263601.

The square root of 1063629192976 is 1031324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12954992400 + 1050674200576 = 113820^2 + 1025024^2 .

It is a super-2 number, since 2×10636291929762 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1063629192971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28858656 + ... + 28895488.

Almost surely, 21063629192976 is an apocalyptic number.

1063629192976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1063629192976 is the 1031324-th square number.

It is an amenable number.

1063629192976 is an abundant number, since it is smaller than the sum of its proper divisors (1333671586565).

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

1063629192976 is an frugal number, since it uses more digits than its factorization.

1063629192976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73688 (or 36842 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 61.

The spelling of 1063629192976 in words is "one trillion, sixty-three billion, six hundred twenty-nine million, one hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 36833 73666 147332 257831 294664 515662 589328 1031324 1804817 2062648 3609634 4125296 7219268 14438536 28877072 1356669889 2713339778 5426679556 9496689223 10853359112 18993378446 21706718224 37986756892 66476824561 75973513784 132953649122 151947027568 265907298244 531814596488 1063629192976