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8001228744 = 2332111128177
BaseRepresentation
bin1110111001110100…
…10000111111001000
3202122121201112102100
413130322100333020
5112341303304434
63401542033400
7402164215335
oct73472207710
922577645370
108001228744
113436537643
121673718860
139a68834a2
1455c90798c
1531c68e699
hex1dce90fc8

8001228744 has 24 divisors (see below), whose sum is σ = 21669994710. Its totient is φ = 2667076224.

The previous prime is 8001228733. The next prime is 8001228791. The reversal of 8001228744 is 4478221008.

It can be written as a sum of positive squares in only one way, i.e., 7967704644 + 33524100 = 89262^2 + 5790^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×80012287442 (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 a junction number, because it is equal to n+sod(n) for n = 8001228699 and 8001228708.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55564017 + ... + 55564160.

Almost surely, 28001228744 is an apocalyptic number.

It is an amenable number.

8001228744 is an abundant number, since it is smaller than the sum of its proper divisors (13668765966).

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

8001228744 is a wasteful number, since it uses less digits than its factorization.

8001228744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111128189 (or 111128182 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8001228744 is about 89449.5877240359. The cubic root of 8001228744 is about 2000.1023900914.

The spelling of 8001228744 in words is "eight billion, one million, two hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 111128177 222256354 333384531 444512708 666769062 889025416 1000153593 1333538124 2000307186 2667076248 4000614372 8001228744