Search a number
-
+
2646105396 = 2231141598287
BaseRepresentation
bin1001110110111000…
…0101110100110100
320211102010002012120
42131232011310310
520404400333041
61114323115540
7122400344664
oct23556056464
96742102176
102646105396
111138726170
1261a212bb0
1333229674c
141b16041a4
1510748b366
hex9db85d34

2646105396 has 96 divisors (see below), whose sum is σ = 7017615360. Its totient is φ = 768940800.

The previous prime is 2646105391. The next prime is 2646105439. The reversal of 2646105396 is 6935016462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646105391) by changing a digit.

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, 315165 + ... + 323451.

It is an arithmetic number, because the mean of its divisors is an integer number (73100160).

Almost surely, 22646105396 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 2646105396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508807680).

2646105396 is an abundant number, since it is smaller than the sum of its proper divisors (4371509964).

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

2646105396 is a wasteful number, since it uses less digits than its factorization.

2646105396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2646105396 is about 51440.3090581695. The cubic root of 2646105396 is about 1383.1492517555.

The spelling of 2646105396 in words is "two billion, six hundred forty-six million, one hundred five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 59 66 82 118 123 132 164 177 236 246 354 451 492 649 708 902 1298 1353 1804 1947 2419 2596 2706 3894 4838 5412 7257 7788 8287 9676 14514 16574 24861 26609 29028 33148 49722 53218 79827 91157 99444 106436 159654 182314 273471 319308 339767 364628 488933 546942 679534 977866 1019301 1093884 1359068 1466799 1955732 2038602 2933598 3737437 4077204 5378263 5867196 7474874 10756526 11212311 14949748 16134789 20046253 21513052 22424622 32269578 40092506 44849244 60138759 64539156 80185012 120277518 220508783 240555036 441017566 661526349 882035132 1323052698 2646105396