Search a number
-
+
30651335433246 = 231110116788131253
BaseRepresentation
bin1101111100000100100011…
…11101011101110000011110
311000112020110021020000121210
412332002101331131300132
513004142413332330441
6145105010142005250
76312325444255323
oct676022175356036
9130466407200553
1030651335433246
119848181856440
123530526276826
1314145406cc458
1477d765466b4a
153824a187a616
hex1be091f5dc1e

30651335433246 has 128 divisors (see below), whose sum is σ = 68021489636352. Its totient is φ = 9130584320000.

The previous prime is 30651335433217. The next prime is 30651335433247. The reversal of 30651335433246 is 64233453315603.

It is a junction number, because it is equal to n+sod(n) for n = 30651335433195 and 30651335433204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30651335433247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980732956 + ... + 980764208.

It is an arithmetic number, because the mean of its divisors is an integer number (531417887784).

Almost surely, 230651335433246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30651335433246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34010744818176).

30651335433246 is an abundant number, since it is smaller than the sum of its proper divisors (37370154203106).

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

30651335433246 is a wasteful number, since it uses less digits than its factorization.

30651335433246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32418.

The product of its (nonzero) digits is 6998400, while the sum is 48.

Adding to 30651335433246 its reverse (64233453315603), we get a palindrome (94884788748849).

The spelling of 30651335433246 in words is "thirty trillion, six hundred fifty-one billion, three hundred thirty-five million, four hundred thirty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 101 167 202 303 334 501 606 881 1002 1111 1762 1837 2222 2643 3333 3674 5286 5511 6666 9691 11022 16867 19382 29073 31253 33734 50601 58146 62506 88981 93759 101202 147127 177962 185537 187518 266943 294254 343783 371074 441381 533886 556611 687566 882762 978791 1031349 1113222 1618397 1957582 2062698 2936373 3156553 3236794 4855191 5219251 5872746 6313106 9469659 9710382 10438502 14859827 15657753 18939318 27533893 29719654 31315506 34722083 44579481 55067786 57411761 69444166 82601679 89158962 104166249 114823522 163458097 165203358 172235283 208332498 302872823 326916194 344470566 490374291 527144351 605745646 908618469 980748582 1054288702 1581433053 1817236938 2780923193 3162866106 4598160131 5561846386 5798587861 8342769579 9196320262 11597175722 13794480393 16685539158 17395763583 27588960786 30590155123 34791527166 50579761441 61180310246 91770465369 101159522882 151739284323 183540930738 303478568646 464414173231 928828346462 1393242519693 2786485039386 5108555905541 10217111811082 15325667716623 30651335433246