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4013861958 = 2333110692243
BaseRepresentation
bin1110111100111110…
…1010110001000110
3101100201210022111000
43233033222301012
531210022040313
61502142554130
7201316156311
oct35717526106
911321708430
104013861958
11177a7a1997
12940298946
134bc766062
142a1121978
151875b2673
hexef3eac46

4013861958 has 64 divisors (see below), whose sum is σ = 9220147200. Its totient is φ = 1293006240.

The previous prime is 4013861947. The next prime is 4013862007. The reversal of 4013861958 is 8591683104.

It is a super-2 number, since 2×40138619582 = 32222175635759187528, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1788385 + ... + 1790627.

It is an arithmetic number, because the mean of its divisors is an integer number (144064800).

Almost surely, 24013861958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013861958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610073600).

4013861958 is an abundant number, since it is smaller than the sum of its proper divisors (5206285242).

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

4013861958 is a wasteful number, since it uses less digits than its factorization.

4013861958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4013861958 is about 63355.0468234378. The cubic root of 4013861958 is about 1589.2326450319.

The spelling of 4013861958 in words is "four billion, thirteen million, eight hundred sixty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1069 1674 2138 2243 3207 4486 6414 6729 9621 13458 19242 20187 28863 33139 40374 57726 60561 66278 69533 99417 121122 139066 198834 208599 298251 417198 596502 625797 894753 1251594 1789506 1877391 2397767 3754782 4795534 7193301 14386602 21579903 43159806 64739709 74330777 129479418 148661554 222992331 445984662 668976993 1337953986 2006930979 4013861958