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252910369968 = 24373202935573
BaseRepresentation
bin1110101110001010100…
…0011111110010110000
3220011210202110222011120
43223202220133302300
513120430023314333
6312104014542240
724162232450254
oct3534250376260
9804722428146
10252910369968
1198293346293
1241023207980
131ab070209b9
14c353166264
1568a35a5db3
hex3ae2a1fcb0

252910369968 has 80 divisors (see below), whose sum is σ = 662646858720. Its totient is φ = 83105298432.

The previous prime is 252910369949. The next prime is 252910370003. The reversal of 252910369968 is 869963019252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7091830 + ... + 7127402.

It is an arithmetic number, because the mean of its divisors is an integer number (8283085734).

Almost surely, 2252910369968 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 252910369968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331323429360).

252910369968 is an abundant number, since it is smaller than the sum of its proper divisors (409736488752).

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

252910369968 is a wasteful number, since it uses less digits than its factorization.

252910369968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37686 (or 37680 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 252910369968 in words is "two hundred fifty-two billion, nine hundred ten million, three hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 2029 3504 4058 6087 8116 12174 16232 24348 32464 35573 48696 71146 97392 106719 142292 148117 213438 284584 296234 426876 444351 569168 592468 853752 888702 1184936 1707504 1777404 2369872 2596829 3554808 5193658 7109616 7790487 10387316 15580974 20774632 31161948 41549264 62323896 72177617 124647792 144355234 216532851 288710468 433065702 577420936 866131404 1154841872 1732262808 3464525616 5268966041 10537932082 15806898123 21075864164 31613796246 42151728328 63227592492 84303456656 126455184984 252910369968