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14785085952 = 293372132373
BaseRepresentation
bin11011100010100001…
…01000001000000000
31102011101202012001000
431301100220020000
5220234440222302
610443035412000
71032250104600
oct156120501000
942141665030
1014785085952
1162a78829aa
122a475b4000
13151816c590
14a0387cc00
155b801131c
hex371428200

14785085952 has 960 divisors, whose sum is σ = 57993788160. Its totient is φ = 3678732288.

The previous prime is 14785085951. The next prime is 14785085977. The reversal of 14785085952 is 25958058741.

14785085952 is a `hidden beast` number, since 1 + 47 + 8 + 5 + 0 + 8 + 595 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14785085951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202535388 + ... + 202535460.

It is an arithmetic number, because the mean of its divisors is an integer number (60410196).

Almost surely, 214785085952 is an apocalyptic number.

14785085952 is a gapful number since it is divisible by the number (12) 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 14785085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28996894080).

14785085952 is an abundant number, since it is smaller than the sum of its proper divisors (43208702208).

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

14785085952 is a wasteful number, since it uses less digits than its factorization.

14785085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 14785085952 in words is "fourteen billion, seven hundred eighty-five million, eighty-five thousand, nine hundred fifty-two".