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14806020384 = 2532281182953
BaseRepresentation
bin11011100101000000…
…11111000100100000
31102012212010202200100
431302200133010200
5220310320123014
610445104222400
71032623045121
oct156240370440
942185122610
1014806020384
116308681291
122a5260aa00
13151c5bc10c
14a0656c048
155b9c99009
hex37281f120

14806020384 has 72 divisors (see below), whose sum is σ = 42254689932. Its totient is φ = 4917749760.

The previous prime is 14806020373. The next prime is 14806020407. The reversal of 14806020384 is 48302060841.

14806020384 is a `hidden beast` number, since 1 + 48 + 0 + 602 + 0 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14587808400 + 218211984 = 120780^2 + 14772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×148060203842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10549 + ... + 172404.

Almost surely, 214806020384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14806020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127344966).

14806020384 is an abundant number, since it is smaller than the sum of its proper divisors (27448669548).

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

14806020384 is a wasteful number, since it uses less digits than its factorization.

14806020384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183250 (or 183239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14806020384 in words is "fourteen billion, eight hundred six million, twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 843 1124 1686 2248 2529 3372 4496 5058 6744 8992 10116 13488 20232 26976 40464 80928 182953 365906 548859 731812 1097718 1463624 1646577 2195436 2927248 3293154 4390872 5854496 6586308 8781744 13172616 17563488 26345232 51409793 52690464 102819586 154229379 205639172 308458758 411278344 462688137 616917516 822556688 925376274 1233835032 1645113376 1850752548 2467670064 3701505096 4935340128 7403010192 14806020384