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14052557617920 = 2833519179119557
BaseRepresentation
bin1100110001111101110110…
…1101000111101100000000
31211202102002220100120121000
43030133131231013230000
53320214114222233140
645515353355132000
72650156322625243
oct314373555075400
954672086316530
1014052557617920
114528724475958
1216ab591144000
137ac1c5847a53
1436820c72b25a
151958150a0a30
hexcc7ddb47b00

14052557617920 has 576 divisors, whose sum is σ = 52785335232000. Its totient is φ = 3530257219584.

The previous prime is 14052557617871. The next prime is 14052557617963. The reversal of 14052557617920 is 2971675525041.

14052557617920 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 2 + 557 + 61 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×140525576179202 (a number of 27 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 117478782 + ... + 117598338.

It is an arithmetic number, because the mean of its divisors is an integer number (91641207000).

Almost surely, 214052557617920 is an apocalyptic number.

14052557617920 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 14052557617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26392667616000).

14052557617920 is an abundant number, since it is smaller than the sum of its proper divisors (38732777614080).

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

14052557617920 is a wasteful number, since it uses less digits than its factorization.

14052557617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119785 (or 119765 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 14052557617920 in words is "fourteen trillion, fifty-two billion, five hundred fifty-seven million, six hundred seventeen thousand, nine hundred twenty".