Search a number
-
+
29272921200 = 243252113227317
BaseRepresentation
bin11011010000110011…
…010101010001110000
32210120002011110202200
4123100303111101300
5434422331434300
621240420143200
72054260503405
oct332063252160
983502143680
1029272921200
1111461889a66
12580b537b00
1329b6864563
1415b9a622ac
15b64da8200
hex6d0cd5470

29272921200 has 360 divisors, whose sum is σ = 103260341808. Its totient is φ = 7678648320.

The previous prime is 29272921189. The next prime is 29272921219. The reversal of 29272921200 is 212927292.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92343442 + ... + 92343758.

Almost surely, 229272921200 is an apocalyptic number.

29272921200 is a gapful number since it is divisible by the number (20) 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 29272921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51630170904).

29272921200 is an abundant number, since it is smaller than the sum of its proper divisors (73987420608).

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

29272921200 is a wasteful number, since it uses less digits than its factorization.

29272921200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 29272921200 in words is "twenty-nine billion, two hundred seventy-two million, nine hundred twenty-one thousand, two hundred".