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14550648840 = 23345713172903
BaseRepresentation
bin11011000110100100…
…10100100000001000
31101120001121112210000
431203102110200020
5214244431230330
610403502523000
71023402321510
oct154322244010
941501545700
1014550648840
116197509922
1229a0b96460
1314ab7187b0
149c0694840
155a2653560
hex363494808

14550648840 has 640 divisors, whose sum is σ = 63755112960. Its totient is φ = 2888441856.

The previous prime is 14550648829. The next prime is 14550648841. The reversal of 14550648840 is 4884605541.

It is a happy number.

14550648840 is a `hidden beast` number, since 14 + 550 + 6 + 4 + 8 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14550648841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5010829 + ... + 5013731.

It is an arithmetic number, because the mean of its divisors is an integer number (99617364).

Almost surely, 214550648840 is an apocalyptic number.

14550648840 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 14550648840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31877556480).

14550648840 is an abundant number, since it is smaller than the sum of its proper divisors (49204464120).

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

14550648840 is a wasteful number, since it uses less digits than its factorization.

14550648840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 14550648840 in words is "fourteen billion, five hundred fifty million, six hundred forty-eight thousand, eight hundred forty".