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11211075707656 = 23111795197136949
BaseRepresentation
bin1010001100100100100000…
…1011110110001100001000
31110200202202010211121102111
42203021020023312030020
52432140240340121111
635502144100312104
72234654623121236
oct243111013661410
943622663747374
1011211075707656
113632654a68210
1213109466a2634
1363427a2572a6
142aa8945d3956
1514695c174a21
hexa32482f6308

11211075707656 has 64 divisors (see below), whose sum is σ = 23064461640000. Its totient is φ = 5066462472960.

The previous prime is 11211075707653. The next prime is 11211075707669. The reversal of 11211075707656 is 65670757011211.

It is not an unprimeable number, because it can be changed into a prime (11211075707653) 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 15 ways as a sum of consecutive naturals, for example, 81794670 + ... + 81931618.

It is an arithmetic number, because the mean of its divisors is an integer number (360382213125).

Almost surely, 211211075707656 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 11211075707656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532230820000).

11211075707656 is an abundant number, since it is smaller than the sum of its proper divisors (11853385932344).

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

11211075707656 is a wasteful number, since it uses less digits than its factorization.

11211075707656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142342 (or 142338 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 49.

The spelling of 11211075707656 in words is "eleven trillion, two hundred eleven billion, seventy-five million, seven hundred seven thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 5197 7876 10394 15752 20788 41576 57167 114334 136949 228668 273898 457336 547796 930263 1095592 1506439 1860526 3012878 3721052 6025756 7442104 10232893 12051512 20465786 24513871 40931572 49027742 81863144 98055484 196110968 269652581 539305162 711723953 1078610324 1423447906 2157220648 2846895812 5693791624 7828963483 15657926966 31315853932 62631707864 127398587587 254797175174 509594350348 1019188700696 1401384463457 2802768926914 5605537853828 11211075707656