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8003189142 = 2321361560683
BaseRepresentation
bin1110111010000011…
…01111100110010110
3202122202102010120200
413131001233212112
5112342304023032
63402052041330
7402216661644
oct73501574626
922582363520
108003189142
113437656503
121674303246
139a70bb8a0
1455cc98194
1531c92a47c
hex1dd06f996

8003189142 has 48 divisors (see below), whose sum is σ = 18980274768. Its totient is φ = 2422146240.

The previous prime is 8003189119. The next prime is 8003189167. The reversal of 8003189142 is 2419813008.

It is a junction number, because it is equal to n+sod(n) for n = 8003189097 and 8003189106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266068 + ... + 294615.

It is an arithmetic number, because the mean of its divisors is an integer number (395422391).

Almost surely, 28003189142 is an apocalyptic number.

8003189142 is an abundant number, since it is smaller than the sum of its proper divisors (10977085626).

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

8003189142 is a wasteful number, since it uses less digits than its factorization.

8003189142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560765 (or 560762 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8003189142 is about 89460.5451693650. The cubic root of 8003189142 is about 2000.2657265265.

The spelling of 8003189142 in words is "eight billion, three million, one hundred eighty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 14274 560683 1121366 1682049 3364098 5046147 7288879 10092294 14577758 21866637 34201663 43733274 65599911 68403326 102604989 131199822 205209978 307814967 444621619 615629934 889243238 1333864857 2667729714 4001594571 8003189142