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2573375520 = 253528119079
BaseRepresentation
bin1001100101100010…
…1001100000100000
320122100021000120110
42121120221200200
520232241004040
61103204211320
7120525221352
oct23130514040
96570230513
102573375520
111100670131
125b9999b40
133201b0511
141a5ab10d2
15100dc1980
hex99629820

2573375520 has 96 divisors (see below), whose sum is σ = 8135406720. Its totient is φ = 683755520.

The previous prime is 2573375513. The next prime is 2573375591. The reversal of 2573375520 is 255733752.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125341 + ... + 144419.

It is an arithmetic number, because the mean of its divisors is an integer number (84743820).

Almost surely, 22573375520 is an apocalyptic number.

2573375520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067703360).

2573375520 is an abundant number, since it is smaller than the sum of its proper divisors (5562031200).

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

2573375520 is a wasteful number, since it uses less digits than its factorization.

2573375520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19378 (or 19370 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 39.

The square root of 2573375520 is about 50728.4488231209. The cubic root of 2573375520 is about 1370.3591009918.

The spelling of 2573375520 in words is "two billion, five hundred seventy-three million, three hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 281 480 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 8992 11240 13488 16860 19079 22480 26976 33720 38158 44960 57237 67440 76316 95395 114474 134880 152632 190790 228948 286185 305264 381580 457896 572370 610528 763160 915792 1144740 1526320 1831584 2289480 3052640 4578960 5361199 9157920 10722398 16083597 21444796 26805995 32167194 42889592 53611990 64334388 80417985 85779184 107223980 128668776 160835970 171558368 214447960 257337552 321671940 428895920 514675104 643343880 857791840 1286687760 2573375520