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2138522936 = 2311414712611
BaseRepresentation
bin111111101110111…
…0100010100111000
312112001000012222012
41333131310110320
513334430213221
6552111545052
7103665100514
oct17735642470
95461005865
102138522936
119a815aa30
124b822b188
132810882b4
14164037144
15c7b2665b
hex7f774538

2138522936 has 64 divisors (see below), whose sum is σ = 4576642560. Its totient is φ = 928096000.

The previous prime is 2138522891. The next prime is 2138523019. The reversal of 2138522936 is 6392258312.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 2138522893 and 2138522902.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 163271 + ... + 175881.

It is an arithmetic number, because the mean of its divisors is an integer number (71510040).

Almost surely, 22138522936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138522936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288321280).

2138522936 is an abundant number, since it is smaller than the sum of its proper divisors (2438119624).

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

2138522936 is a wasteful number, since it uses less digits than its factorization.

2138522936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12712 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 2138522936 is about 46244.1665077878. The cubic root of 2138522936 is about 1288.3621896555.

The spelling of 2138522936 in words is "two billion, one hundred thirty-eight million, five hundred twenty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 164 188 328 376 451 517 902 1034 1804 1927 2068 3608 3854 4136 7708 12611 15416 21197 25222 42394 50444 84788 100888 138721 169576 277442 517051 554884 592717 1034102 1109768 1185434 2068204 2370868 4136408 4741736 5687561 6519887 11375122 13039774 22750244 24301397 26079548 45500488 48602794 52159096 97205588 194411176 267315367 534630734 1069261468 2138522936