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8049475818 = 23319109167431
BaseRepresentation
bin1110111111100100…
…10100000011101010
3202202222111201222000
413133302110003222
5112441131211233
63410424111430
7403321262346
oct73762240352
922688451860
108049475818
1134607a035a
121687905576
139b3876a57
145650a6626
15321a1ed13
hex1dfc940ea

8049475818 has 128 divisors (see below), whose sum is σ = 19160064000. Its totient is φ = 2497728960.

The previous prime is 8049475813. The next prime is 8049475823. The reversal of 8049475818 is 8185749408.

8049475818 is a `hidden beast` number, since 8 + 0 + 494 + 75 + 81 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8049475813) and next prime (8049475823).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8049475813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18676063 + ... + 18676493.

It is an arithmetic number, because the mean of its divisors is an integer number (149688000).

Almost surely, 28049475818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8049475818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580032000).

8049475818 is an abundant number, since it is smaller than the sum of its proper divisors (11110588182).

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

8049475818 is a wasteful number, since it uses less digits than its factorization.

8049475818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 8049475818 is about 89718.8710249967. The cubic root of 8049475818 is about 2004.1145144143.

The spelling of 8049475818 in words is "eight billion, forty-nine million, four hundred seventy-five thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 109 114 167 171 218 327 334 342 431 501 513 654 862 981 1002 1026 1293 1503 1962 2071 2586 2943 3006 3173 3879 4142 4509 5886 6213 6346 7758 8189 9018 9519 11637 12426 16378 18203 18639 19038 23274 24567 28557 36406 37278 46979 49134 54609 55917 57114 71977 73701 85671 93958 109218 111834 140937 143954 147402 163827 171342 215931 221103 281874 327654 345857 422811 431862 442206 491481 647793 691714 845622 892601 982962 1037571 1268433 1295586 1367563 1785202 1943379 2075142 2536866 2677803 2735126 3112713 3886758 4102689 5355606 6225426 7845493 8033409 8205378 9338139 12308067 15690986 16066818 18676278 23536479 24100227 24616134 36924201 47072958 48200454 70609437 73848402 141218874 149064367 211828311 298128734 423656622 447193101 894386202 1341579303 2683158606 4024737909 8049475818