Search a number
-
+
29198314000 = 245341356077
BaseRepresentation
bin11011001100010110…
…101110101000010000
32210100212210000221001
4123030112232220100
5434244232022000
621225153111344
72052363400612
oct331426565020
983325700831
1029198314000
1111423761519
1257aa558554
1329a427199b
1415adba0db2
15b5d56c46a
hex6cc5aea10

29198314000 has 80 divisors (see below), whose sum is σ = 72323714736. Its totient is φ = 11394432000.

The previous prime is 29198313997. The next prime is 29198314039. The reversal of 29198314000 is 41389192.

It can be written as a sum of positive squares in 8 ways, for example, as 15526156816 + 13672157184 = 124604^2 + 116928^2 .

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, 96039 + ... + 260038.

Almost surely, 229198314000 is an apocalyptic number.

29198314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29198314000 is an abundant number, since it is smaller than the sum of its proper divisors (43125400736).

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

29198314000 is a wasteful number, since it uses less digits than its factorization.

29198314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356141 (or 356125 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 29198314000 in words is "twenty-nine billion, one hundred ninety-eight million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 356077 712154 1424308 1780385 2848616 3560770 5697232 7121540 8901925 14243080 14599157 17803850 28486160 29198314 35607700 44509625 58396628 71215400 72995785 89019250 116793256 142430800 145991570 178038500 233586512 291983140 356077000 364978925 583966280 712154000 729957850 1167932560 1459915700 1824894625 2919831400 3649789250 5839662800 7299578500 14599157000 29198314000