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13914923589952 = 2672112172393787
BaseRepresentation
bin1100101001111101001000…
…0100111110000101000000
31211021020211221122112022121
43022133102010332011000
53310440230414334302
645332232212214024
72634214530656500
oct312372204760500
954236757575277
1013914923589952
114485316672600
12168897b90a314
1379c2301b9208
143616b3421a00
15191e5be32e37
hexca7d213e140

13914923589952 has 504 divisors, whose sum is σ = 39008678611392. Its totient is φ = 4880593428480.

The previous prime is 13914923589947. The next prime is 13914923589967. The reversal of 13914923589952 is 25998532941931.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 148320403 + ... + 148414189.

It is an arithmetic number, because the mean of its divisors is an integer number (77398171848).

Almost surely, 213914923589952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13914923589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504339305696).

13914923589952 is an abundant number, since it is smaller than the sum of its proper divisors (25093755021440).

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

13914923589952 is a wasteful number, since it uses less digits than its factorization.

13914923589952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93875 (or 93847 counting only the distinct ones).

The product of its digits is 188956800, while the sum is 70.

The spelling of 13914923589952 in words is "thirteen trillion, nine hundred fourteen billion, nine hundred twenty-three million, five hundred eighty-nine thousand, nine hundred fifty-two".