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245533234540 = 2251129116333091
BaseRepresentation
bin1110010010101011101…
…0111101010101101100
3212110202122002122211111
43210222322331111230
513010323002001130
6304444005201404
723511354025636
oct3445272752554
9773678078744
10245533234540
1195148123250
123b704700264
131a1cc8506c9
14bc534b7a56
1565c0ae302a
hex392aebd56c

245533234540 has 96 divisors (see below), whose sum is σ = 582408610560. Its totient is φ = 86129299200.

The previous prime is 245533234537. The next prime is 245533234553. The reversal of 245533234540 is 45432335542.

It is a junction number, because it is equal to n+sod(n) for n = 245533234493 and 245533234502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7403395 + ... + 7436485.

It is an arithmetic number, because the mean of its divisors is an integer number (6066756360).

Almost surely, 2245533234540 is an apocalyptic number.

245533234540 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 245533234540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291204305280).

245533234540 is an abundant number, since it is smaller than the sum of its proper divisors (336875376020).

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

245533234540 is a wasteful number, since it uses less digits than its factorization.

245533234540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34303 (or 34301 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 245533234540 in words is "two hundred forty-five billion, five hundred thirty-three million, two hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1163 1276 1595 2326 3190 4652 5815 6380 11630 12793 23260 25586 33091 33727 51172 63965 66182 67454 127930 132364 134908 165455 168635 255860 330910 337270 364001 370997 661820 674540 728002 741994 959639 1456004 1483988 1820005 1854985 1919278 3640010 3709970 3838556 4798195 7280020 7419940 9596390 10556029 19192780 21112058 38484833 42224116 52780145 76969666 105560290 153939332 192424165 211120580 384848330 423333163 769696660 846666326 1116060157 1693332652 2116665815 2232120314 4233331630 4464240628 5580300785 8466663260 11160601570 12276661727 22321203140 24553323454 49106646908 61383308635 122766617270 245533234540