Search a number
-
+
120964238369279 = 17197397386313691
BaseRepresentation
bin11011100000010000101110…
…011101010110000111111111
3120212022001211202101101112222
4123200100232131112013333
5111323334230010304104
61105134112015315555
734323243410120144
oct3340205635260777
9525261752341488
10120964238369279
11355a7711034698
121169781a81bbbb
135265b56764176
1421c29b3b8c3cb
15deb8565431be
hex6e042e7561ff

120964238369279 has 64 divisors (see below), whose sum is σ = 138122459919360. Its totient is φ = 105247535431680.

The previous prime is 120964238369269. The next prime is 120964238369371. The reversal of 120964238369279 is 972963832469021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120964238369279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120964238369269) 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, 8835303824 + ... + 8835317514.

It is an arithmetic number, because the mean of its divisors is an integer number (2158163436240).

Almost surely, 2120964238369279 is an apocalyptic number.

120964238369279 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

120964238369279 is a deficient number, since it is larger than the sum of its proper divisors (17158221550081).

120964238369279 is a wasteful number, since it uses less digits than its factorization.

120964238369279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17760.

The product of its (nonzero) digits is 423263232, while the sum is 71.

The spelling of 120964238369279 in words is "one hundred twenty trillion, nine hundred sixty-four billion, two hundred thirty-eight million, three hundred sixty-nine thousand, two hundred seventy-nine".

Divisors: 1 17 19 73 97 323 1241 1387 1649 1843 3863 7081 13691 23579 31331 65671 73397 120377 134539 232747 260129 281999 374711 999443 1247749 1328027 2287163 4422193 4793983 5357981 6370087 7119509 16990531 18989417 22576459 25232513 27353903 52888333 91085677 96945971 121031653 322820089 428952721 465016351 519724157 899101661 1004878327 1648081507 1841973449 3860848309 5130168301 8835310669 17082931559 31313548633 65634421253 73356117871 87212861117 97473197719 374502285973 1247054003807 1657044361223 6366538861541 7115543433487 120964238369279