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7148635380 = 22325113351457
BaseRepresentation
bin1101010100001011…
…11000010011110100
3200110012102022012100
412222011320103310
5104120022313010
63141204022100
7342102253365
oct65205702364
920405368170
107148635380
113039244627
121476091930
1389c047983
144bb5abb6c
152bc8c92c0
hex1aa1784f4

7148635380 has 72 divisors (see below), whose sum is σ = 21876151752. Its totient is φ = 1889427456.

The previous prime is 7148635199. The next prime is 7148635387. The reversal of 7148635380 is 835368417.

7148635380 is a `hidden beast` number, since 7 + 1 + 4 + 8 + 635 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 559417104 + 6589218276 = 23652^2 + 81174^2 .

It is a super-2 number, since 2×71486353802 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7148635387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155389 + ... + 196068.

It is an arithmetic number, because the mean of its divisors is an integer number (303835441).

Almost surely, 27148635380 is an apocalyptic number.

It is an amenable number.

7148635380 is an abundant number, since it is smaller than the sum of its proper divisors (14727516372).

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

7148635380 is a wasteful number, since it uses less digits than its factorization.

7148635380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351585 (or 351580 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7148635380 is about 84549.6030741718. The cubic root of 7148635380 is about 1926.3759549212.

The spelling of 7148635380 in words is "seven billion, one hundred forty-eight million, six hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 351457 702914 1054371 1405828 1757285 2108742 3163113 3514570 4217484 5271855 6326226 7029140 10543710 12652452 15815565 21087420 31631130 39714641 63262260 79429282 119143923 158858564 198573205 238287846 357431769 397146410 476575692 595719615 714863538 794292820 1191439230 1429727076 1787158845 2382878460 3574317690 7148635380