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42521770272300 = 223521123395508929
BaseRepresentation
bin10011010101100010111110…
…00000110010011000101100
312120120001010021120222211120
421222301133000302120230
521033134041142203200
6230234122005020540
711646045051506664
oct1152613700623054
9176501107528746
1042521770272300
1112604421862130
1249290069b4750
131a95a2a336517
14a700c960d1a4
154db14ebcd9a0
hex26ac5f03262c

42521770272300 has 144 divisors (see below), whose sum is σ = 134271574819200. Its totient is φ = 10303898931200.

The previous prime is 42521770272253. The next prime is 42521770272313. The reversal of 42521770272300 is 327207712524.

It is a super-2 number, since 2×425217702723002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4964236 + ... + 10473164.

It is an arithmetic number, because the mean of its divisors is an integer number (932441491800).

Almost surely, 242521770272300 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 42521770272300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67135787409600).

42521770272300 is an abundant number, since it is smaller than the sum of its proper divisors (91749804546900).

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

42521770272300 is a wasteful number, since it uses less digits than its factorization.

42521770272300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511296 (or 5511289 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

Adding to 42521770272300 its reverse (327207712524), we get a palindrome (42848977984824).

The spelling of 42521770272300 in words is "forty-two trillion, five hundred twenty-one billion, seven hundred seventy million, two hundred seventy-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2339 3300 4678 7017 9356 11695 14034 23390 25729 28068 35085 46780 51458 58475 70170 77187 102916 116950 128645 140340 154374 175425 233900 257290 308748 350850 385935 514580 643225 701700 771870 1286450 1543740 1929675 2572900 3859350 5508929 7718700 11017858 16526787 22035716 27544645 33053574 55089290 60598219 66107148 82633935 110178580 121196438 137723225 165267870 181794657 242392876 275446450 302991095 330535740 363589314 413169675 550892900 605982190 727178628 826339350 908973285 1211964380 1514955475 1652678700 1817946570 3029910950 3635893140 4544866425 6059821900 9089732850 12885384931 18179465700 25770769862 38656154793 51541539724 64426924655 77312309586 128853849310 141739234241 154624619172 193280773965 257707698620 283478468482 322134623275 386561547930 425217702723 566956936964 644269246550 708696171205 773123095860 850435405446 966403869825 1288538493100 1417392342410 1700870810892 1932807739650 2126088513615 2834784684820 3543480856025 3865615479300 4252177027230 7086961712050 8504354054460 10630442568075 14173923424100 21260885136150 42521770272300