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2530148410352 = 241923361863331
BaseRepresentation
bin100100110100011000100…
…110001110001111110000
322221212202101121111022102
4210310120212032033300
5312423220443112402
65214200101155532
7350540302432463
oct44643046161760
98855671544272
102530148410352
118960368a91a2
1234a4396bbba8
1315479073a6c4
148a661b112da
1545c357a3102
hex24d1898e3f0

2530148410352 has 40 divisors (see below), whose sum is σ = 5384526380160. Its totient is φ = 1146383029440.

The previous prime is 2530148410249. The next prime is 2530148410357.

2530148410352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530148410357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180924674 + ... + 180938657.

It is an arithmetic number, because the mean of its divisors is an integer number (134613159504).

Almost surely, 22530148410352 is an apocalyptic number.

It is an amenable number.

2530148410352 is an abundant number, since it is smaller than the sum of its proper divisors (2854377969808).

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

2530148410352 is a wasteful number, since it uses less digits than its factorization.

2530148410352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361863381 (or 361863375 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 2530148410352 in words is "two trillion, five hundred thirty billion, one hundred forty-eight million, four hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 361863331 723726662 1447453324 2894906648 5789813296 6875403289 8322856613 13750806578 16645713226 27501613156 33291426452 55003226312 66582852904 110006452624 133165705808 158134275647 316268551294 632537102588 1265074205176 2530148410352