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2138934036 = 2232337434871
BaseRepresentation
bin111111101111101…
…1000101100010100
312112001210002220010
41333133120230110
513340031342121
6552124440220
7104001432201
oct17737305424
95461702803
102138934036
119a8410888
124b83a9070
132811a0455
14164102ca8
15c7ba8376
hex7f7d8b14

2138934036 has 96 divisors (see below), whose sum is σ = 5474101248. Its totient is φ = 647982720.

The previous prime is 2138934019. The next prime is 2138934037. The reversal of 2138934036 is 6304398312.

It is a junction number, because it is equal to n+sod(n) for n = 2138933985 and 2138934003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138934037) 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 31 ways as a sum of consecutive naturals, for example, 436681 + ... + 441551.

It is an arithmetic number, because the mean of its divisors is an integer number (57021888).

Almost surely, 22138934036 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 2138934036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737050624).

2138934036 is an abundant number, since it is smaller than the sum of its proper divisors (3335167212).

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

2138934036 is a wasteful number, since it uses less digits than its factorization.

2138934036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2138934036 is about 46248.6111791479. The cubic root of 2138934036 is about 1288.4447406774. Note that the first 3 decimals are identical.

The spelling of 2138934036 in words is "two billion, one hundred thirty-eight million, nine hundred thirty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 12 23 37 43 46 69 74 86 92 111 129 138 148 172 222 258 276 444 516 851 989 1591 1702 1978 2553 2967 3182 3404 3956 4773 4871 5106 5934 6364 9546 9742 10212 11868 14613 19092 19484 29226 36593 58452 73186 109779 112033 146372 180227 209453 219558 224066 336099 360454 418906 439116 448132 540681 628359 672198 720908 837812 1081362 1256718 1344396 2162724 2513436 4145221 4817419 7749761 8290442 9634838 12435663 14452257 15499522 16580884 19269676 23249283 24871326 28904514 30999044 46498566 49742652 57809028 92997132 178244503 356489006 534733509 712978012 1069467018 2138934036