Search a number
-
+
10749732000 = 253537127973
BaseRepresentation
bin10100000001011101…
…11110010010100000
31000202011111222002020
422000232332102200
5134003412411000
64534404021440
7530250133350
oct120056762240
930664458066
1010749732000
114616a41837
122100091880
13102411cc87
1473d964b60
1542db05ba0
hex280bbe4a0

10749732000 has 192 divisors, whose sum is σ = 40247311104. Its totient is φ = 2457062400.

The previous prime is 10749731999. The next prime is 10749732017. The reversal of 10749732000 is 23794701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20014 + ... + 147986.

It is an arithmetic number, because the mean of its divisors is an integer number (209621412).

Almost surely, 210749732000 is an apocalyptic number.

10749732000 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 10749732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123655552).

10749732000 is an abundant number, since it is smaller than the sum of its proper divisors (29497579104).

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

10749732000 is a wasteful number, since it uses less digits than its factorization.

10749732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128008 (or 127990 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 10749732000 in words is "ten billion, seven hundred forty-nine million, seven hundred thirty-two thousand".