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2138477139 = 33292412297
BaseRepresentation
bin111111101110110…
…1001001001010011
312112000220220011000
41333131221021103
513334422232024
6552110553043
7103664520141
oct17735511123
95460826130
102138477139
119a8129587
124b8208783
132810704b6
14164024591
15c7b17cc9
hex7f769253

2138477139 has 48 divisors (see below), whose sum is σ = 3362617440. Its totient is φ = 1342333440.

The previous prime is 2138477093. The next prime is 2138477153. The reversal of 2138477139 is 9317748312.

It is a de Polignac number, because none of the positive numbers 2k-2138477139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2138477094 and 2138477103.

It is not an unprimeable number, because it can be changed into a prime (2138477239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929839 + ... + 932135.

It is an arithmetic number, because the mean of its divisors is an integer number (70054530).

Almost surely, 22138477139 is an apocalyptic number.

2138477139 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2138477139 is a deficient number, since it is larger than the sum of its proper divisors (1224140301).

2138477139 is a wasteful number, since it uses less digits than its factorization.

2138477139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2370 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2138477139 is about 46243.6713399791. The cubic root of 2138477139 is about 1288.3529927244.

The spelling of 2138477139 in words is "two billion, one hundred thirty-eight million, four hundred seventy-seven thousand, one hundred thirty-nine".

Divisors: 1 3 9 27 29 41 87 123 261 369 783 841 1107 1189 2297 2523 3567 6891 7569 10701 20673 22707 32103 34481 62019 66613 94177 103443 199839 282531 310329 599517 847593 930987 1798551 1931777 2542779 2731133 5795331 8193399 17385993 24580197 52157979 73740591 79202857 237608571 712825713 2138477139