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14573905920 = 2113257192941
BaseRepresentation
bin11011001001010110…
…00010100000000000
31101121200101010111100
431210223002200000
5214321404442140
610410053214400
71024104104430
oct154453024000
941550333440
1014573905920
1161a9654252
1229a8931400
1314b349c592
149c37ca2c0
155a46e9530
hex364ac2800

14573905920 has 1152 divisors, whose sum is σ = 64393056000. Its totient is φ = 2972712960.

The previous prime is 14573905903. The next prime is 14573905937. The reversal of 14573905920 is 2950937541.

It is a happy number.

14573905920 is a `hidden beast` number, since 1 + 4 + 57 + 3 + 9 + 0 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14573905903) and next prime (14573905937).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×145739059202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355461100 + ... + 355461140.

It is an arithmetic number, because the mean of its divisors is an integer number (55896750).

Almost surely, 214573905920 is an apocalyptic number.

14573905920 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 14573905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528000).

14573905920 is an abundant number, since it is smaller than the sum of its proper divisors (49819150080).

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

14573905920 is a wasteful number, since it uses less digits than its factorization.

14573905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 14573905920 in words is "fourteen billion, five hundred seventy-three million, nine hundred five thousand, nine hundred twenty".