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14756660020 = 2254327163317
BaseRepresentation
bin11011011111001000…
…01100001100110100
31102002102020222222201
431233210030030310
5220210201110040
610440142234244
71031453353264
oct155744141464
942072228881
1014756660020
1162928280a3
122a39b85984
1315122c8bbb
149ddb9d7a4
155b5798a9a
hex36f90c334

14756660020 has 48 divisors (see below), whose sum is σ = 31827172608. Its totient is φ = 5744027520.

The previous prime is 14756660011. The next prime is 14756660033. The reversal of 14756660020 is 2006665741.

It is a happy number.

14756660020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201402 + ... + 264718.

It is an arithmetic number, because the mean of its divisors is an integer number (663066096).

Almost surely, 214756660020 is an apocalyptic number.

14756660020 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 14756660020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913586304).

14756660020 is an abundant number, since it is smaller than the sum of its proper divisors (17070512588).

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

14756660020 is a wasteful number, since it uses less digits than its factorization.

14756660020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63640 (or 63638 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 14756660020 in words is "fourteen billion, seven hundred fifty-six million, six hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 271 430 542 860 1084 1355 2710 5420 11653 23306 46612 58265 63317 116530 126634 233060 253268 316585 633170 1266340 2722631 5445262 10890524 13613155 17158907 27226310 34317814 54452620 68635628 85794535 171589070 343178140 737833001 1475666002 2951332004 3689165005 7378330010 14756660020