Search a number
-
+
53151744000 = 21435341211
BaseRepresentation
bin110001100000000101…
…110100000000000000
312002012020101100121010
4301200011310000000
51332323321302000
640230110200520
73561102240525
oct614005640000
9162166340533
1053151744000
11205a5856a63
12a3744b3140
135020a13bc4
14280315714c
1515b140ed50
hexc60174000

53151744000 has 480 divisors, whose sum is σ = 182056597632. Its totient is φ = 13762560000.

The previous prime is 53151743999. The next prime is 53151744007. The reversal of 53151744000 is 44715135.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53151744007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251903895 + ... + 251904105.

Almost surely, 253151744000 is an apocalyptic number.

53151744000 is a gapful number since it is divisible by the number (50) 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 53151744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91028298816).

53151744000 is an abundant number, since it is smaller than the sum of its proper divisors (128904853632).

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

53151744000 is an equidigital number, since it uses as much as digits as its factorization.

53151744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 53151744000 in words is "fifty-three billion, one hundred fifty-one million, seven hundred forty-four thousand".