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9929141310916 = 22251262772
BaseRepresentation
bin1001000001111100111011…
…1100001101010111000100
31022011012211221002212222101
42100133032330031113010
52300134340133422131
633041215021241444
72043233243414032
oct220371674152704
938135757085871
109929141310916
113188a1a466153
121144401403284
13570410b4c929
14264804471552
1512342e265c61
hex907cef0d5c4

9929141310916 has 27 divisors (see below), whose sum is σ = 17448279896397. Its totient is φ = 4944003726000.

The previous prime is 9929141310817. The next prime is 9929141310917. The reversal of 9929141310916 is 6190131419299.

The square root of 9929141310916 is 3151054.

It is a perfect power (a square), and thus also a powerful number.

9929141310916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9702664308100 + 226477002816 = 3114910^2 + 475896^2 .

It is a super-3 number, since 3×99291413109163 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9929141310917) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1581825970 + ... + 1581832246.

Almost surely, 29929141310916 is an apocalyptic number.

9929141310916 is the 3151054-th square number.

It is an amenable number.

9929141310916 is a deficient number, since it is larger than the sum of its proper divisors (7519138585481).

9929141310916 is an frugal number, since it uses more digits than its factorization.

9929141310916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 55.

The spelling of 9929141310916 in words is "nine trillion, nine hundred twenty-nine billion, one hundred forty-one million, three hundred ten thousand, nine hundred sixteen".

Divisors: 1 2 4 251 502 1004 6277 12554 25108 63001 126002 252004 1575527 3151054 6302108 39400729 78801458 157602916 395457277 790914554 1581829108 9889582979 19779165958 39558331916 2482285327729 4964570655458 9929141310916