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12500024400 = 2432523472229
BaseRepresentation
bin10111010010000111…
…10011110001010000
31012021011000000212200
423221003303301100
5201100001240100
65424210523200
7621522311553
oct135103636120
935234000780
1012500024400
115334a35386
12250a296500
131242927a56
148681bc69a
154d25e0e00
hex2e90f3c50

12500024400 has 90 divisors (see below), whose sum is σ = 43378569390. Its totient is φ = 3333338880.

The previous prime is 12500024371. The next prime is 12500024417. The reversal of 12500024400 is 442000521.

It can be written as a sum of positive squares in 3 ways, for example, as 3124362816 + 9375661584 = 55896^2 + 96828^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×125000244002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1732515 + ... + 1739714.

Almost surely, 212500024400 is an apocalyptic number.

12500024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12500024400 is an abundant number, since it is smaller than the sum of its proper divisors (30878544990).

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

12500024400 is a wasteful number, since it uses less digits than its factorization.

12500024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472253 (or 3472239 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12500024400 its reverse (442000521), we get a palindrome (12942024921).

The spelling of 12500024400 in words is "twelve billion, five hundred million, twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3472229 6944458 10416687 13888916 17361145 20833374 27777832 31250061 34722290 41666748 52083435 55555664 62500122 69444580 83333496 86805725 104166870 125000244 138889160 156250305 166666992 173611450 208333740 250000488 260417175 277778320 312500610 347222900 416667480 500000976 520834350 625001220 694445800 781251525 833334960 1041668700 1250002440 1388891600 1562503050 2083337400 2500004880 3125006100 4166674800 6250012200 12500024400