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30782570496 = 21431573989
BaseRepresentation
bin11100101010110010…
…001100000000000000
32221110021211121021120
4130222302030000000
51001020314223441
622050305152240
72136551350326
oct345262140000
987407747246
1030782570496
1112066a5a907
125b7102b680
132b97554872
1416c0357d16
15c026ab966
hex72ac8c000

30782570496 has 120 divisors (see below), whose sum is σ = 82627888560. Its totient is φ = 10192945152.

The previous prime is 30782570479. The next prime is 30782570503. The reversal of 30782570496 is 69407528703.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7714870 + ... + 7718858.

It is an arithmetic number, because the mean of its divisors is an integer number (688565738).

Almost surely, 230782570496 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 30782570496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41313944280).

30782570496 is an abundant number, since it is smaller than the sum of its proper divisors (51845318064).

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

30782570496 is an equidigital number, since it uses as much as digits as its factorization.

30782570496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 30782570496 in words is "thirty billion, seven hundred eighty-two million, five hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1256 1536 1884 2048 2512 3072 3768 3989 4096 5024 6144 7536 7978 8192 10048 11967 12288 15072 15956 16384 20096 23934 24576 30144 31912 40192 47868 49152 60288 63824 80384 95736 120576 127648 160768 191472 241152 255296 321536 382944 482304 510592 626273 643072 765888 964608 1021184 1252546 1286144 1531776 1878819 1929216 2042368 2505092 2572288 3063552 3757638 3858432 4084736 5010184 6127104 7515276 7716864 8169472 10020368 12254208 15030552 16338944 20040736 24508416 30061104 32677888 40081472 49016832 60122208 65355776 80162944 98033664 120244416 160325888 196067328 240488832 320651776 480977664 641303552 961955328 1282607104 1923910656 2565214208 3847821312 5130428416 7695642624 10260856832 15391285248 30782570496