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8613380000 = 25542691601
BaseRepresentation
bin10000000010110010…
…11011111110100000
3211020021121001002002
420001121123332200
5120120011130000
63542410343132
7423306344021
oct100131337640
924207531062
108613380000
113720034975
12180472aaa8
13a73644b74
145b9d34c48
153562ac8d5
hex20165bfa0

8613380000 has 120 divisors (see below), whose sum is σ = 21282265620. Its totient is φ = 3430400000.

The previous prime is 8613379997. The next prime is 8613380003. The reversal of 8613380000 is 833168.

It is an interprime number because it is at equal distance from previous prime (8613379997) and next prime (8613380003).

It can be written as a sum of positive squares in 10 ways, for example, as 273307024 + 8340072976 = 16532^2 + 91324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8613380003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5379200 + ... + 5380800.

Almost surely, 28613380000 is an apocalyptic number.

8613380000 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 8613380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641132810).

8613380000 is an abundant number, since it is smaller than the sum of its proper divisors (12668885620).

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

8613380000 is a wasteful number, since it uses less digits than its factorization.

8613380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 8613380000 is about 92808.2970428830. The cubic root of 8613380000 is about 2049.8615809772.

The spelling of 8613380000 in words is "eight billion, six hundred thirteen million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 269 400 500 538 625 800 1000 1076 1250 1345 1601 2000 2152 2500 2690 3202 4000 4304 5000 5380 6404 6725 8005 8608 10000 10760 12808 13450 16010 20000 21520 25616 26900 32020 33625 40025 43040 51232 53800 64040 67250 80050 107600 128080 134500 160100 168125 200125 215200 256160 269000 320200 336250 400250 430669 538000 640400 672500 800500 861338 1000625 1076000 1280800 1345000 1601000 1722676 2001250 2153345 2690000 3202000 3445352 4002500 4306690 5380000 6404000 6890704 8005000 8613380 10766725 13781408 16010000 17226760 21533450 32020000 34453520 43066900 53833625 68907040 86133800 107667250 172267600 215334500 269168125 344535200 430669000 538336250 861338000 1076672500 1722676000 2153345000 4306690000 8613380000