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8018006500 = 2253713916481
BaseRepresentation
bin1110111011110100…
…10001000111100100
3202200210021221011201
413131322101013210
5112410102202000
63403341412244
7402456634150
oct73572210744
922623257151
108018006500
113444a56a59
12167926a084
139aa1a905a
14560c34060
1531dda596a
hex1dde911e4

8018006500 has 96 divisors (see below), whose sum is σ = 20158145280. Its totient is φ = 2729088000.

The previous prime is 8018006489. The next prime is 8018006519. The reversal of 8018006500 is 56008108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478260 + ... + 494740.

It is an arithmetic number, because the mean of its divisors is an integer number (209980680).

Almost surely, 28018006500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8018006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10079072640).

8018006500 is an abundant number, since it is smaller than the sum of its proper divisors (12140138780).

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

8018006500 is a wasteful number, since it uses less digits than its factorization.

8018006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16646 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 8018006500 is about 89543.3219173825. The cubic root of 8018006500 is about 2001.4994172597.

The spelling of 8018006500 in words is "eight billion, eighteen million, six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 139 140 175 250 278 350 500 556 695 700 875 973 1390 1750 1946 2780 3475 3500 3892 4865 6950 9730 13900 16481 17375 19460 24325 32962 34750 48650 65924 69500 82405 97300 115367 121625 164810 230734 243250 329620 412025 461468 486500 576835 824050 1153670 1648100 2060125 2290859 2307340 2884175 4120250 4581718 5768350 8240500 9163436 11454295 11536700 14420875 16036013 22908590 28841750 32072026 45817180 57271475 57683500 64144052 80180065 114542950 160360130 229085900 286357375 320720260 400900325 572714750 801800650 1145429500 1603601300 2004501625 4009003250 8018006500