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4007923213 = 7171923372083
BaseRepresentation
bin1110111011100100…
…0000111000001101
3101100022121121001111
43232321000320031
531202012020323
61501411412021
7201214533220
oct35671007015
911308547044
104007923213
111777406038
1293a2b4011
134bb466bc8
142a04175b7
15186cdcc0d
hexeee40e0d

4007923213 has 64 divisors (see below), whose sum is σ = 5473751040. Its totient is φ = 2849375232.

The previous prime is 4007923207. The next prime is 4007923223. The reversal of 4007923213 is 3123297004.

4007923213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4007923213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007923223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1923070 + ... + 1925152.

It is an arithmetic number, because the mean of its divisors is an integer number (85527360).

Almost surely, 24007923213 is an apocalyptic number.

It is an amenable number.

4007923213 is a deficient number, since it is larger than the sum of its proper divisors (1465827827).

4007923213 is a wasteful number, since it uses less digits than its factorization.

4007923213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 4007923213 is about 63308.1607140817. The cubic root of 4007923213 is about 1588.4484704166.

The spelling of 4007923213 in words is "four billion, seven million, nine hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 17 19 23 37 119 133 161 259 323 391 437 629 703 851 2083 2261 2737 3059 4403 4921 5957 7429 11951 14467 14581 16169 35411 39577 47909 52003 77071 83657 101269 113183 247877 274873 277039 335363 539497 672809 814453 910271 1310207 1464349 1772633 1924111 4709663 5701171 6371897 9171449 10250443 12408431 15474607 24893933 30134761 33680027 108322249 174257531 210943327 235760189 572560459 4007923213