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12532526000 = 245338316361
BaseRepresentation
bin10111010101111111…
…10010101110110000
31012100102011021200122
423222333302232300
5201131311313000
65431331305412
7622365466451
oct135277625660
935312137618
1012532526000
115351314305
12251914b268
131249597577
1486c63d128
154d53b1085
hex2eaff2bb0

12532526000 has 80 divisors (see below), whose sum is σ = 30384626688. Its totient is φ = 4999616000.

The previous prime is 12532525991. The next prime is 12532526087. The reversal of 12532526000 is 62523521.

It is a tau number, because it is divible by the number of its divisors (80).

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, 757820 + ... + 774180.

Almost surely, 212532526000 is an apocalyptic number.

12532526000 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 12532526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192313344).

12532526000 is an abundant number, since it is smaller than the sum of its proper divisors (17852100688).

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

12532526000 is a wasteful number, since it uses less digits than its factorization.

12532526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 12532526000 in words is "twelve billion, five hundred thirty-two million, five hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 383 400 500 766 1000 1532 1915 2000 3064 3830 6128 7660 9575 15320 16361 19150 30640 32722 38300 47875 65444 76600 81805 95750 130888 153200 163610 191500 261776 327220 383000 409025 654440 766000 818050 1308880 1636100 2045125 3272200 4090250 6266263 6544400 8180500 12532526 16361000 25065052 31331315 32722000 50130104 62662630 100260208 125325260 156656575 250650520 313313150 501301040 626626300 783282875 1253252600 1566565750 2506505200 3133131500 6266263000 12532526000