Search a number
-
+
10009992611416 = 237661270423401
BaseRepresentation
bin1001000110101010001000…
…0011011100011001011000
31022102221112121002111201111
42101222202003130121120
52303000431102031131
633142305505230104
72052124643214220
oct221524203343130
938387477074644
1010009992611416
11320a239961966
121158006332334
13577c27459945
142686b42cb080
151255b2341ab1
hex91aa20dc658

10009992611416 has 32 divisors (see below), whose sum is σ = 21482435054880. Its totient is φ = 4283506656000.

The previous prime is 10009992611393. The next prime is 10009992611417. The reversal of 10009992611416 is 61411629990001.

It is a super-2 number, since 2×100099926114162 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10009992611416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009992611417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135174685 + ... + 135248716.

It is an arithmetic number, because the mean of its divisors is an integer number (671326095465).

Almost surely, 210009992611416 is an apocalyptic number.

It is an amenable number.

10009992611416 is an abundant number, since it is smaller than the sum of its proper divisors (11472442443464).

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

10009992611416 is a wasteful number, since it uses less digits than its factorization.

10009992611416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270424075 (or 270424071 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 49.

The spelling of 10009992611416 in words is "ten trillion, nine billion, nine hundred ninety-two million, six hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 661 1322 2644 4627 5288 9254 18508 37016 270423401 540846802 1081693604 1892963807 2163387208 3785927614 7571855228 15143710456 178749868061 357499736122 714999472244 1251249076427 1429998944488 2502498152854 5004996305708 10009992611416