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11728276660 = 2254333141201
BaseRepresentation
bin10101110110000111…
…10100110010110100
31010021100211012000001
422323003310302310
5143004414323120
65215441401044
7563431464262
oct127303646264
933240735001
1011728276660
114a79340931
122333939184
13114ba87499
147d38c9432
15489999e0a
hex2bb0f4cb4

11728276660 has 48 divisors (see below), whose sum is σ = 25278910272. Its totient is φ = 4568256000.

The previous prime is 11728276631. The next prime is 11728276663. The reversal of 11728276660 is 6667282711.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11728276660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11728276663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264060 + ... + 305260.

It is an arithmetic number, because the mean of its divisors is an integer number (526643964).

Almost surely, 211728276660 is an apocalyptic number.

11728276660 is a gapful number since it is divisible by the number (10) 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 11728276660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639455136).

11728276660 is an abundant number, since it is smaller than the sum of its proper divisors (13550633612).

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

11728276660 is a wasteful number, since it uses less digits than its factorization.

11728276660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41584 (or 41582 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 11728276660 in words is "eleven billion, seven hundred twenty-eight million, two hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 331 430 662 860 1324 1655 3310 6620 14233 28466 41201 56932 71165 82402 142330 164804 206005 284660 412010 824020 1771643 3543286 7086572 8858215 13637531 17716430 27275062 35432860 54550124 68187655 136375310 272750620 586413833 1172827666 2345655332 2932069165 5864138330 11728276660