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12433201004 = 2272137599773
BaseRepresentation
bin10111001010001001…
…11001011101101100
31012002111021001102002
423211010321131230
5200430344413004
65413422351432
7620051315300
oct134504713554
935074231362
1012433201004
115300243a34
1224aba2b578
131231b2c093
1485d385d00
154cb7e161e
hex2e513976c

12433201004 has 72 divisors (see below), whose sum is σ = 25570792800. Its totient is φ = 5273958144.

The previous prime is 12433200973. The next prime is 12433201009. The reversal of 12433201004 is 40010233421.

It is not an unprimeable number, because it can be changed into a prime (12433201009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16083962 + ... + 16084734.

It is an arithmetic number, because the mean of its divisors is an integer number (355149900).

Almost surely, 212433201004 is an apocalyptic number.

12433201004 is a gapful number since it is divisible by the number (14) 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 12433201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785396400).

12433201004 is an abundant number, since it is smaller than the sum of its proper divisors (13137591796).

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

12433201004 is a wasteful number, since it uses less digits than its factorization.

12433201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12433201004 its reverse (40010233421), we get a palindrome (52443434425).

The spelling of 12433201004 in words is "twelve billion, four hundred thirty-three million, two hundred one thousand, four".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 599 773 959 1198 1546 1918 2396 3092 3836 4193 5411 6713 8386 10822 13426 16772 21644 26852 29351 37877 58702 75754 82063 105901 117404 151508 164126 211802 328252 423604 463027 574441 741307 926054 1148882 1482614 1852108 2297764 2965228 3241189 4021087 5189149 6482378 8042174 10378298 12964756 16084348 20756596 22688323 45376646 63434699 90753292 126869398 253738796 444042893 888085786 1776171572 3108300251 6216600502 12433201004