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6915145120 = 2551329114641
BaseRepresentation
bin1100111000010110…
…01011110110100000
3122211221001202202221
412130023023312200
5103130234120440
63102103320424
7333235522642
oct63413136640
918757052687
106915145120
112a29467974
12140ba50114
13862865b60
1449858c892
152a7156d4a
hex19c2cbda0

6915145120 has 96 divisors (see below), whose sum is σ = 18200563920. Its totient is φ = 2465218560.

The previous prime is 6915145117. The next prime is 6915145123. The reversal of 6915145120 is 215415196.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6915145117) and next prime (6915145123).

It can be written as a sum of positive squares in 8 ways, for example, as 2771390736 + 4143754384 = 52644^2 + 64372^2 .

It is not an unprimeable number, because it can be changed into a prime (6915145123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3000 + ... + 117640.

Almost surely, 26915145120 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 6915145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100281960).

6915145120 is an abundant number, since it is smaller than the sum of its proper divisors (11285418800).

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

6915145120 is a wasteful number, since it uses less digits than its factorization.

6915145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114698 (or 114690 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 6915145120 is about 83157.3515691788. The cubic root of 6915145120 is about 1905.1701402405.

The spelling of 6915145120 in words is "six billion, nine hundred fifteen million, one hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 60320 114641 229282 458564 573205 917128 1146410 1490333 1834256 2292820 2980666 3324589 3668512 4585640 5961332 6649178 7451665 9171280 11922664 13298356 14903330 16622945 18342560 23845328 26596712 29806660 33245890 43219657 47690656 53193424 59613320 66491780 86439314 106386848 119226640 132983560 172878628 216098285 238453280 265967120 345757256 432196570 531934240 691514512 864393140 1383029024 1728786280 3457572560 6915145120