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7148702500 = 2254192892
BaseRepresentation
bin1101010100001100…
…01000101100100100
3200110012112201021021
412222012020230210
5104120031440000
63141205300524
7342102653152
oct65206105444
920405481237
107148702500
11303928aaa5
121476104744
1389c06c3a4
144bb5c83d2
152bc8de11a
hex1aa188b24

7148702500 has 135 divisors (see below), whose sum is σ = 16686328197. Its totient is φ = 2678544000.

The previous prime is 7148702497. The next prime is 7148702501. The reversal of 7148702500 is 52078417.

It is a happy number.

The square root of 7148702500 is 84550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6944555556 + 204146944 = 83334^2 + 14288^2 .

It is a super-3 number, since 3×71487025003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7148702501) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 80322456 + ... + 80322544.

Almost surely, 27148702500 is an apocalyptic number.

7148702500 is the 84550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7148702500

7148702500 is an abundant number, since it is smaller than the sum of its proper divisors (9537625697).

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

7148702500 is an equidigital number, since it uses as much as digits as its factorization.

7148702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The cubic root of 7148702500 is about 1926.3819839483.

The spelling of 7148702500 in words is "seven billion, one hundred forty-eight million, seven hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 125 178 190 250 356 361 380 445 475 500 625 722 890 950 1250 1444 1691 1780 1805 1900 2225 2375 2500 3382 3610 4450 4750 6764 7220 7921 8455 8900 9025 9500 11125 11875 15842 16910 18050 22250 23750 31684 32129 33820 36100 39605 42275 44500 45125 47500 55625 64258 79210 84550 90250 111250 128516 150499 158420 160645 169100 180500 198025 211375 222500 225625 300998 321290 396050 422750 451250 601996 642580 752495 792100 803225 845500 902500 990125 1056875 1504990 1606450 1980250 2113750 2859481 3009980 3212900 3762475 3960500 4016125 4227500 4950625 5718962 7524950 8032250 9901250 11437924 14297405 15049900 16064500 18812375 19802500 20080625 28594810 37624750 40161250 57189620 71487025 75249500 80322500 94061875 142974050 188123750 285948100 357435125 376247500 714870250 1429740500 1787175625 3574351250 7148702500