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14755742820 = 223257133797251
BaseRepresentation
bin11011011111000001…
…01100010001100100
31102002100112101211100
431233200230101210
5220204432232240
610440110440100
71031442513240
oct155740542144
942070471740
1014755742820
116292260a85
122a39803030
131512067590
149dda01420
155b5666e30
hex36f82c464

14755742820 has 576 divisors, whose sum is σ = 57387972096. Its totient is φ = 2985984000.

The previous prime is 14755742809. The next prime is 14755742843. The reversal of 14755742820 is 2824755741.

14755742820 is a `hidden beast` number, since 1 + 4 + 75 + 574 + 2 + 8 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58787695 + ... + 58787945.

It is an arithmetic number, because the mean of its divisors is an integer number (99631896).

Almost surely, 214755742820 is an apocalyptic number.

14755742820 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 14755742820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28693986048).

14755742820 is an abundant number, since it is smaller than the sum of its proper divisors (42632229276).

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

14755742820 is a wasteful number, since it uses less digits than its factorization.

14755742820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 14755742820 in words is "fourteen billion, seven hundred fifty-five million, seven hundred forty-two thousand, eight hundred twenty".