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8016650640 = 2432512379001
BaseRepresentation
bin1110111011101010…
…00110000110010000
3202200200202001021200
413131311012012100
5112404230310030
63403252351200
7402442256205
oct73565060620
922620661250
108016650640
113444210309
121678915500
139a9b22b7b
1456099dcac
1531dbd8d60
hex1ddd46190

8016650640 has 120 divisors (see below), whose sum is σ = 26947342968. Its totient is φ = 2135808000.

The previous prime is 8016650617. The next prime is 8016650659. The reversal of 8016650640 is 460566108.

8016650640 is a `hidden beast` number, since 8 + 0 + 1 + 6 + 6 + 5 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 615833856 + 7400816784 = 24816^2 + 86028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 8016650595 and 8016650604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886140 + ... + 895140.

Almost surely, 28016650640 is an apocalyptic number.

8016650640 is a gapful number since it is divisible by the number (80) 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 8016650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473671484).

8016650640 is an abundant number, since it is smaller than the sum of its proper divisors (18930692328).

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

8016650640 is a wasteful number, since it uses less digits than its factorization.

8016650640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8016650640 is about 89535.7506250995. The cubic root of 8016650640 is about 2001.3865917928.

The spelling of 8016650640 in words is "eight billion, sixteen million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1237 2474 3711 4948 6185 7422 9001 9896 11133 12370 14844 18002 18555 19792 22266 24740 27003 29688 36004 37110 44532 45005 49480 54006 55665 59376 72008 74220 81009 89064 90010 98960 108012 111330 135015 144016 148440 162018 178128 180020 216024 222660 270030 296880 324036 360040 405045 432048 445320 540060 648072 720080 810090 890640 1080120 1296144 1620180 2160240 3240360 6480720 11134237 22268474 33402711 44536948 55671185 66805422 89073896 100208133 111342370 133610844 167013555 178147792 200416266 222684740 267221688 334027110 400832532 445369480 501040665 534443376 668054220 801665064 890738960 1002081330 1336108440 1603330128 2004162660 2672216880 4008325320 8016650640