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10240466404520 = 23511137691245849
BaseRepresentation
bin1001010100000100101101…
…0111001100010010101000
31100020222102201012021112202
42111001023113030102220
52320234433344421040
633440223314355332
72104564206144122
oct225011327142250
940228381167482
1010240466404520
113298a59353940
12119480758bb48
1359389704b651
142758d970a212
1512b5a0ccd015
hex9504b5cc4a8

10240466404520 has 128 divisors (see below), whose sum is σ = 25355906928000. Its totient is φ = 3691260211200.

The previous prime is 10240466404489. The next prime is 10240466404541. The reversal of 10240466404520 is 2540466404201.

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, 41530556 + ... + 41776404.

It is an arithmetic number, because the mean of its divisors is an integer number (198093022875).

Almost surely, 210240466404520 is an apocalyptic number.

10240466404520 is a gapful number since it is divisible by the number (10) 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 10240466404520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677953464000).

10240466404520 is an abundant number, since it is smaller than the sum of its proper divisors (15115440523480).

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

10240466404520 is a wasteful number, since it uses less digits than its factorization.

10240466404520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246699 (or 246695 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 10240466404520 in words is "ten trillion, two hundred forty billion, four hundred sixty-six million, four hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 691 1096 1370 1382 1507 2740 2764 3014 3455 5480 5528 6028 6910 7535 7601 12056 13820 15070 15202 27640 30140 30404 38005 60280 60808 76010 94667 152020 189334 245849 304040 378668 473335 491698 757336 946670 983396 1041337 1229245 1893340 1966792 2082674 2458490 2704339 3786680 4165348 4916980 5206685 5408678 8330696 9833960 10413370 10817356 13521695 20826740 21634712 27043390 33681313 41653480 54086780 67362626 108173560 134725252 168406565 169881659 269450504 336813130 339763318 370494443 673626260 679526636 740988886 849408295 1347252520 1359053272 1481977772 1698816590 1852472215 1868698249 2963955544 3397633180 3704944430 3737396498 6795266360 7409888860 7474792996 9343491245 14819777720 14949585992 18686982490 23273787283 37373964980 46547574566 74747929960 93095149132 116368936415 186190298264 232737872830 256011660113 465475745660 512023320226 930951491320 1024046640452 1280058300565 2048093280904 2560116601130 5120233202260 10240466404520