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18359979001 = 7213214892
BaseRepresentation
bin10001000110010101…
…110000101111111001
31202101112112120101021
4101012111300233321
5300100123312001
612233502022441
71216656150400
oct210625605771
952345476337
1018359979001
117871802a71
123684877a21
13196799b900
14c62574637
15726cb3ba1
hex446570bf9

18359979001 has 27 divisors (see below), whose sum is σ = 23142331341. Its totient is φ = 14516820864.

The previous prime is 18359978993. The next prime is 18359979031. The reversal of 18359979001 is 10097995381.

It is a happy number.

The square root of 18359979001 is 135499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7528165225 + 10831813776 = 86765^2 + 104076^2 .

It is not a de Polignac number, because 18359979001 - 23 = 18359978993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18359979001.

It is not an unprimeable number, because it can be changed into a prime (18359979031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12329665 + ... + 12331153.

It is an arithmetic number, because the mean of its divisors is an integer number (857123383).

Almost surely, 218359979001 is an apocalyptic number.

18359979001 is the 135499-th square number.

18359979001 is the 67750-th centered octagonal number.

It is an amenable number.

18359979001 is a deficient number, since it is larger than the sum of its proper divisors (4782352340).

18359979001 is an frugal number, since it uses more digits than its factorization.

18359979001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 52.

The spelling of 18359979001 in words is "eighteen billion, three hundred fifty-nine million, nine hundred seventy-nine thousand, one".

Divisors: 1 7 13 49 91 169 637 1183 1489 8281 10423 19357 72961 135499 251641 948493 1761487 2217121 12330409 15519847 28822573 108638929 201758011 374693449 1412306077 2622854143 18359979001