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2148211133916 = 223592433021751
BaseRepresentation
bin11111010000101011010…
…111001000110111011100
321121100220112020112220020
4133100223113020313130
5240144014022241131
64322512523552140
7311126450233221
oct37205327106734
97540815215806
102148211133916
117590621aa411
122a840768b650
13127763321493
1475d8c825948
153ad2ea02996
hex1f42b5c8ddc

2148211133916 has 24 divisors (see below), whose sum is σ = 5012578913664. Its totient is φ = 716058054000.

The previous prime is 2148211133879. The next prime is 2148211133917. The reversal of 2148211133916 is 6193311128412.

It is a super-2 number, since 2×21482111339162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148211133917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799960 + ... + 2221791.

It is an arithmetic number, because the mean of its divisors is an integer number (208857454736).

Almost surely, 22148211133916 is an apocalyptic number.

It is an amenable number.

2148211133916 is an abundant number, since it is smaller than the sum of its proper divisors (2864367779748).

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

2148211133916 is a wasteful number, since it uses less digits than its factorization.

2148211133916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081001 (or 3080999 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The spelling of 2148211133916 in words is "two trillion, one hundred forty-eight billion, two hundred eleven million, one hundred thirty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 59243 118486 177729 236972 355458 710916 3021751 6043502 9065253 12087004 18130506 36261012 179017594493 358035188986 537052783479 716070377972 1074105566958 2148211133916