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10431802981392 = 24313731511151561
BaseRepresentation
bin1001011111001101011111…
…1010010011110000010000
31100221021022021201110200220
42113303113322103300100
52331403313030401032
634104145405313040
72124446542206552
oct227632772236020
940837267643626
1010431802981392
113362114910011
121205905865780
135a893a553a40
14280c8ad8b4d2
1513154d8ac12c
hex97cd7e93c10

10431802981392 has 160 divisors (see below), whose sum is σ = 29439034281216. Its totient is φ = 3163699814400.

The previous prime is 10431802981343. The next prime is 10431802981399. The reversal of 10431802981392 is 29318920813401.

It is not an unprimeable number, because it can be changed into a prime (10431802981399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68753292 + ... + 68904852.

Almost surely, 210431802981392 is an apocalyptic number.

10431802981392 is a gapful number since it is divisible by the number (12) 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 10431802981392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719517140608).

10431802981392 is an abundant number, since it is smaller than the sum of its proper divisors (19007231299824).

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

10431802981392 is a wasteful number, since it uses less digits than its factorization.

10431802981392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153169 (or 153163 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 10431802981392 in words is "ten trillion, four hundred thirty-one billion, eight hundred two million, nine hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1511 1752 1898 2847 3022 3504 3796 4533 5694 6044 7592 9066 11388 12088 15184 18132 19643 22776 24176 36264 39286 45552 58929 72528 78572 110303 117858 151561 157144 220606 235716 303122 314288 330909 441212 454683 471432 606244 661818 882424 909366 942864 1212488 1323636 1433939 1764848 1818732 1970293 2424976 2647272 2867878 3637464 3940586 4301817 5294544 5735756 5910879 7274928 7881172 8603634 11063953 11471512 11821758 15762344 17207268 22127906 22943024 23643516 31524688 33191859 34414536 44255812 47287032 66383718 68829072 88511624 94574064 132767436 143831389 177023248 229008671 265534872 287662778 431494167 458017342 531069744 575325556 687026013 862988334 916034684 1150651112 1374052026 1725976668 1832069368 2301302224 2748104052 2977112723 3451953336 3664138736 5496208104 5954225446 6903906672 8931338169 10992416208 11908450892 16717632983 17862676338 23816901784 33435265966 35725352676 47633803568 50152898949 66870531932 71450705352 100305797898 133741063864 142901410704 200611595796 217329228779 267482127728 401223191592 434658457558 651987686337 802446383184 869316915116 1303975372674 1738633830232 2607950745348 3477267660464 5215901490696 10431802981392