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3358243167601 = 7414922512
BaseRepresentation
bin110000110111100110111…
…001000001110101110001
3102220001012201222202221211
4300313212321001311301
5420010140222330401
611050431113520121
7464424252640000
oct60674671016561
912801181882854
103358243167601
11108524a79a933
12462a24a13041
131b48b113119a
14b877b450c37
155c5502c7951
hex30de6e41d71

3358243167601 has 45 divisors (see below), whose sum is σ = 3959963616203. Its totient is φ = 2847784254000.

The previous prime is 3358243167589. The next prime is 3358243167623. The reversal of 3358243167601 is 1067613428533.

The square root of 3358243167601 is 1832551.

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

It can be written as a sum of positive squares in only one way, i.e., 393441308001 + 2964801859600 = 627249^2 + 1721860^2 .

It is not a de Polignac number, because 3358243167601 - 211 = 3358243165553 is a prime.

It is a super-2 number, since 2×33582431676012 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3358249167601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13379454726 + ... + 13379454976.

Almost surely, 23358243167601 is an apocalyptic number.

3358243167601 is the 1832551-st square number.

3358243167601 is the 916276-th centered octagonal number.

It is an amenable number.

3358243167601 is a deficient number, since it is larger than the sum of its proper divisors (601720448602).

3358243167601 is an frugal number, since it uses more digits than its factorization.

3358243167601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 3358243167601 by its sum of digits (49), we get a square (164553915212449 = 128278572).

3358243167601 divided by its sum of digits (49) gives a square (68535574849 = 2617932).

The spelling of 3358243167601 in words is "three trillion, three hundred fifty-eight billion, two hundred forty-three million, one hundred sixty-seven thousand, six hundred one".

Divisors: 1 7 49 149 251 343 1043 1757 2401 7301 12299 22201 37399 51107 63001 86093 155407 261793 357749 441007 602651 1087849 1832551 3087049 5572451 7614943 9387149 12827857 21609343 39007157 53304601 65710043 89794999 151265401 273050099 459970301 1398685201 1911350693 3219792107 9790796407 13379454851 22538544749 68535574849 479749023943 3358243167601