Search a number
-
+
1216388633088 = 2938347919919
BaseRepresentation
bin10001101100110110011…
…010011001001000000000
311022021201012210221011010
4101230312122121020000
5124412130442224323
62330445021520520
7153611146533306
oct21546632311000
94267635727133
101216388633088
1142995a743762
121778b2113140
138a921a32735
1442c32d42276
152199389bc93
hex11b36699200

1216388633088 has 160 divisors (see below), whose sum is σ = 3286589644800. Its totient is φ = 399721435136.

The previous prime is 1216388633077. The next prime is 1216388633101. The reversal of 1216388633088 is 8803368836121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61056793 + ... + 61076711.

It is an arithmetic number, because the mean of its divisors is an integer number (20541185280).

Almost surely, 21216388633088 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 1216388633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643294822400).

1216388633088 is an abundant number, since it is smaller than the sum of its proper divisors (2070201011712).

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

1216388633088 is an equidigital number, since it uses as much as digits as its factorization.

1216388633088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20502 (or 20486 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 1216388633088 in words is "one trillion, two hundred sixteen billion, three hundred eighty-eight million, six hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 479 498 512 664 768 958 996 1328 1437 1536 1916 1992 2656 2874 3832 3984 5312 5748 7664 7968 10624 11496 15328 15936 19919 21248 22992 30656 31872 39757 39838 42496 45984 59757 61312 63744 79514 79676 91968 119271 119514 122624 127488 159028 159352 183936 238542 239028 245248 318056 318704 367872 477084 478056 636112 637408 735744 954168 956112 1272224 1274816 1653277 1908336 1912224 2544448 2549632 3306554 3816672 3824448 4959831 5088896 5099264 6613108 7633344 7648896 9541201 9919662 10177792 10198528 13226216 15266688 15297792 19082402 19839324 20355584 26452432 28623603 30533376 30595584 38164804 39678648 52904864 57247206 61066752 76329608 79357296 105809728 114494412 152659216 158714592 211619456 228988824 305318432 317429184 423238912 457977648 610636864 634858368 791919683 846477824 915955296 1221273728 1269716736 1583839366 1831910592 2375759049 2442547456 2539433472 3167678732 3663821184 4751518098 4885094912 6335357464 7327642368 9503036196 12670714928 14655284736 19006072392 25341429856 38012144784 50682859712 76024289568 101365719424 152048579136 202731438848 304097158272 405462877696 608194316544 1216388633088