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10616516148 = 2237131964787
BaseRepresentation
bin10011110001100101…
…10010111000110100
31000101212211220021210
421320302302320310
5133220312004043
64513244441420
7524041620060
oct117062627064
930355756253
1010616516148
114558823797
122083549270
131002649824
14729da8aa0
1542208e633
hex278cb2e34

10616516148 has 48 divisors (see below), whose sum is σ = 28526851584. Its totient is φ = 3010132320.

The previous prime is 10616516143. The next prime is 10616516213. The reversal of 10616516148 is 84161561601.

10616516148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106165161482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10616516143) 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, 471390 + ... + 493397.

It is an arithmetic number, because the mean of its divisors is an integer number (594309408).

Almost surely, 210616516148 is an apocalyptic number.

It is an amenable number.

10616516148 is an abundant number, since it is smaller than the sum of its proper divisors (17910335436).

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

10616516148 is a wasteful number, since it uses less digits than its factorization.

10616516148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964932 (or 964930 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 10616516148 in words is "ten billion, six hundred sixteen million, five hundred sixteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 964787 1929574 2894361 3859148 5788722 6753509 11577444 13507018 20260527 27014036 40521054 81042108 126387097 252774194 379161291 505548388 758322582 884709679 1516645164 1769419358 2654129037 3538838716 5308258074 10616516148