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14716077948 = 2233111317232437
BaseRepresentation
bin11011011010010010…
…11000011101111100
31101222120220012212000
431231021120131330
5220114303443243
610432132342300
71030451412225
oct155511303574
941876805760
1014716077948
11627192a1a0
122a28474990
131506a8a440
149d863824c
155b1e2e5d3
hex36d25877c

14716077948 has 384 divisors, whose sum is σ = 49543280640. Its totient is φ = 3704279040.

The previous prime is 14716077917. The next prime is 14716077949. The reversal of 14716077948 is 84977061741.

It is a happy number.

14716077948 is a `hidden beast` number, since 1 + 471 + 60 + 7 + 79 + 48 = 666.

It is a super-2 number, since 2×147160779482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14716077894 and 14716077903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14716077949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6037386 + ... + 6039822.

It is an arithmetic number, because the mean of its divisors is an integer number (129018960).

Almost surely, 214716077948 is an apocalyptic number.

14716077948 is a gapful number since it is divisible by the number (18) 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 14716077948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771640320).

14716077948 is an abundant number, since it is smaller than the sum of its proper divisors (34827202692).

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

14716077948 is a wasteful number, since it uses less digits than its factorization.

14716077948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 14716077948 in words is "fourteen billion, seven hundred sixteen million, seventy-seven thousand, nine hundred forty-eight".