Search a number
-
+
11346667890 = 2352915783071
BaseRepresentation
bin10101001000101000…
…00110100101110010
31002021202202110011220
422210110012211302
5141214221333030
65113530245510
7551116041255
oct124424064562
932252673156
1011346667890
1148a2997588
122247b86896
1310ba9b4c8c
14798d5109c
1546621aa10
hex2a4506972

11346667890 has 64 divisors (see below), whose sum is σ = 28350812160. Its totient is φ = 2902798080.

The previous prime is 11346667883. The next prime is 11346667909. The reversal of 11346667890 is 9876664311.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95055 + ... + 178125.

It is an arithmetic number, because the mean of its divisors is an integer number (442981440).

Almost surely, 211346667890 is an apocalyptic number.

11346667890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11346667890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175406080).

11346667890 is an abundant number, since it is smaller than the sum of its proper divisors (17004144270).

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

11346667890 is a wasteful number, since it uses less digits than its factorization.

11346667890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83267.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 11346667890 in words is "eleven billion, three hundred forty-six million, six hundred sixty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 157 174 290 314 435 471 785 870 942 1570 2355 4553 4710 9106 13659 22765 27318 45530 68295 83071 136590 166142 249213 415355 498426 830710 1246065 2409059 2492130 4818118 7227177 12045295 13042147 14454354 24090590 26084294 36135885 39126441 65210735 72271770 78252882 130421470 195632205 378222263 391264410 756444526 1134666789 1891111315 2269333578 3782222630 5673333945 11346667890