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4199071284 = 2232161372313
BaseRepresentation
bin1111101001001000…
…1011111000110100
3101211122021220220200
43322102023320310
532044430240114
61532400400500
7206025342222
oct37222137064
911748256820
104199071284
1118652a2451
12992316130
1351bc42085
142bb973b12
15198999409
hexfa48be34

4199071284 has 36 divisors (see below), whose sum is σ = 10621046436. Its totient is φ = 1398803328.

The previous prime is 4199071271. The next prime is 4199071297. The reversal of 4199071284 is 4821709914.

It is a happy number.

4199071284 is a `hidden beast` number, since 419 + 90 + 71 + 2 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (4199071271) and next prime (4199071297).

It can be written as a sum of positive squares in 2 ways, for example, as 3408224400 + 790846884 = 58380^2 + 28122^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×41990712842 = 35264399296226817312, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 21912 + ... + 94224.

Almost surely, 24199071284 is an apocalyptic number.

It is an amenable number.

4199071284 is an abundant number, since it is smaller than the sum of its proper divisors (6421975152).

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

4199071284 is a wasteful number, since it uses less digits than its factorization.

4199071284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73936 (or 73931 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 4199071284 is about 64800.2413884393. The cubic root of 4199071284 is about 1613.3097152740.

The spelling of 4199071284 in words is "four billion, one hundred ninety-nine million, seventy-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1613 3226 4839 6452 9678 14517 19356 29034 58068 72313 144626 216939 289252 433878 650817 867756 1301634 2603268 116640869 233281738 349922607 466563476 699845214 1049767821 1399690428 2099535642 4199071284