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14969338974 = 235195373419
BaseRepresentation
bin11011111000011110…
…11111110001011110
31102122020110012200000
431330033133301132
5221124122321344
610513220515130
71036645165452
oct157417376136
942566405600
1014969338974
11639188aa27
122a9924baa6
1315473a2235
14a20122662
155c92a9a69
hex37c3dfc5e

14969338974 has 192 divisors, whose sum is σ = 36654508800. Its totient is φ = 4563516672.

The previous prime is 14969338963. The next prime is 14969338981. The reversal of 14969338974 is 47983396941.

14969338974 is a `hidden beast` number, since 14 + 96 + 93 + 389 + 74 = 666.

It is a super-2 number, since 2×149693389742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35726137 + ... + 35726555.

It is an arithmetic number, because the mean of its divisors is an integer number (190908900).

Almost surely, 214969338974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14969338974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327254400).

14969338974 is an abundant number, since it is smaller than the sum of its proper divisors (21685169826).

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

14969338974 is a wasteful number, since it uses less digits than its factorization.

14969338974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 14969338974 in words is "fourteen billion, nine hundred sixty-nine million, three hundred thirty-eight thousand, nine hundred seventy-four".