Search a number
-
+
1464116603412 = 2232931733185153
BaseRepresentation
bin10101010011100100001…
…001100110101000010100
312011222010210200201111010
4111103210021212220110
5142442002322302122
63040334512012220
7210531113534661
oct25234411465024
95158123621433
101464116603412
11514a23720431
121b7909831070
13a80b1190668
1450c13ac6a68
1528141ebbe0c
hex154e4266a14

1464116603412 has 96 divisors (see below), whose sum is σ = 3653073607680. Its totient is φ = 455385047040.

The previous prime is 1464116603399. The next prime is 1464116603423. The reversal of 1464116603412 is 2143066114641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7815028 + ... + 8000180.

It is an arithmetic number, because the mean of its divisors is an integer number (38052850080).

Almost surely, 21464116603412 is an apocalyptic number.

1464116603412 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 1464116603412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826536803840).

1464116603412 is an abundant number, since it is smaller than the sum of its proper divisors (2188957004268).

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

1464116603412 is a wasteful number, since it uses less digits than its factorization.

1464116603412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185953 (or 185951 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1464116603412 in words is "one trillion, four hundred sixty-four billion, one hundred sixteen million, six hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 733 899 1466 1798 2199 2697 2932 3596 4398 5394 8796 10788 21257 22723 42514 45446 63771 68169 85028 90892 127542 136338 185153 255084 272676 370306 555459 658967 740612 1110918 1317934 1976901 2221836 2635868 3953802 5369437 5739743 7907604 10738874 11479486 16108311 17219229 21477748 22958972 32216622 34438458 64433244 68876916 135717149 166452547 271434298 332905094 407151447 499357641 542868596 665810188 814302894 998715282 1628605788 1997430564 3935797321 4207231619 7871594642 8414463238 11807391963 12621694857 15743189284 16828926476 23614783926 25243389714 47229567852 50486779428 122009716951 244019433902 366029150853 488038867804 732058301706 1464116603412