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15070005000 = 233254334889
BaseRepresentation
bin11100000100011111…
…00000011100001000
31102220020212120111100
432002033200130020
5221330410130000
610531214301400
71042306633431
oct160217403410
942806776440
1015070005000
116433696896
122b06ab7860
1315621b9c2b
14a2d648488
155d3041a00
hex3823e0708

15070005000 has 120 divisors (see below), whose sum is σ = 51002072550. Its totient is φ = 4018656000.

The previous prime is 15070004993. The next prime is 15070005023. The reversal of 15070005000 is 50007051.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19131876 + 15050873124 = 4374^2 + 122682^2 .

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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122445 + ... + 212444.

Almost surely, 215070005000 is an apocalyptic number.

15070005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15070005000 is an abundant number, since it is smaller than the sum of its proper divisors (35932067550).

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

15070005000 is a wasteful number, since it uses less digits than its factorization.

15070005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334921 (or 334899 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The spelling of 15070005000 in words is "fifteen billion, seventy million, five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 334889 669778 1004667 1339556 1674445 2009334 2679112 3014001 3348890 4018668 5023335 6028002 6697780 8037336 8372225 10046670 12056004 13395560 15070005 16744450 20093340 24112008 25116675 30140010 33488900 40186680 41861125 50233350 60280020 66977800 75350025 83722250 100466700 120560040 125583375 150700050 167444500 200933400 209305625 251166750 301400100 334889000 376750125 418611250 502333500 602800200 627916875 753500250 837222500 1004667000 1255833750 1507000500 1674445000 1883750625 2511667500 3014001000 3767501250 5023335000 7535002500 15070005000