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129490583104 = 2631214512
BaseRepresentation
bin111100010011000111…
…1010111111001000000
3110101020102101012000101
41320212033113321000
54110144042124404
6135253120332144
712232616536621
oct1704617277100
9411212335011
10129490583104
114aa0a070733
122111a174054
13c2984a340c
1463a5981a48
15357d28a2a4
hex1e263d7e40

129490583104 has 63 divisors (see below), whose sum is σ = 265697338683. Its totient is φ = 62613552000.

The previous prime is 129490583099. The next prime is 129490583137. The reversal of 129490583104 is 401385094921.

The square root of 129490583104 is 359848.

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

It is a super-2 number, since 2×1294905831042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89241579 + ... + 89243029.

Almost surely, 2129490583104 is an apocalyptic number.

129490583104 is the 359848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129490583104

129490583104 is an abundant number, since it is smaller than the sum of its proper divisors (136206755579).

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

129490583104 is an frugal number, since it uses more digits than its factorization.

129490583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 129490583104 in words is "one hundred twenty-nine billion, four hundred ninety million, five hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1451 1922 1984 2902 3844 5804 7688 11608 15376 23216 30752 44981 46432 61504 89962 92864 179924 359848 719696 1394411 1439392 2105401 2788822 2878784 4210802 5577644 8421604 11155288 16843208 22310576 33686416 44621152 65267431 67372832 89242304 130534862 134745664 261069724 522139448 1044278896 2023290361 2088557792 4046580722 4177115584 8093161444 16186322888 32372645776 64745291552 129490583104