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4013005399 = 1353131173257
BaseRepresentation
bin1110111100110001…
…1001101001010111
3101100200011210111121
43233030121221113
531204312133044
61502112344411
7201305661124
oct35714315127
911320153447
104013005399
11177a267397
1293bb45107
134bc526210
142a0d7b74b
15187493984
hexef319a57

4013005399 has 32 divisors (see below), whose sum is σ = 4479862464. Its totient is φ = 3571875840.

The previous prime is 4013005393. The next prime is 4013005433. The reversal of 4013005399 is 9935003104.

It is a de Polignac number, because none of the positive numbers 2k-4013005399 is a prime.

It is a super-2 number, since 2×40130053992 = 32208424664806298402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013005393) 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, 15614679 + ... + 15614935.

It is an arithmetic number, because the mean of its divisors is an integer number (139995702).

Almost surely, 24013005399 is an apocalyptic number.

4013005399 is a deficient number, since it is larger than the sum of its proper divisors (466857065).

4013005399 is a wasteful number, since it uses less digits than its factorization.

4013005399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627.

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 4013005399 is about 63348.2864724848. The cubic root of 4013005399 is about 1589.1195894607.

The spelling of 4013005399 in words is "four billion, thirteen million, five thousand, three hundred ninety-nine".

Divisors: 1 13 53 131 173 257 689 1703 2249 3341 6943 9169 13621 22663 33667 44461 90259 119197 177073 294619 437671 577993 1201139 1784351 2356433 5824391 15614807 23196563 30633629 75717083 308692723 4013005399