Search a number
-
+
427320319335 = 357134342117293
BaseRepresentation
bin1100011011111100100…
…01101001110101100111
31111211222200120101112220
412031332101221311213
524000123000204320
6524150325243423
742605252532540
oct6157621516547
91454880511486
10427320319335
111552531a8708
126a998863573
13313b07b2580
141697a7874c7
15b1b0152e40
hex637e469d67

427320319335 has 128 divisors (see below), whose sum is σ = 863157098496. Its totient is φ = 175697786880.

The previous prime is 427320319319. The next prime is 427320319339. The reversal of 427320319335 is 533913023724.

It is not a de Polignac number, because 427320319335 - 24 = 427320319319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427320319339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24701949 + ... + 24719241.

It is an arithmetic number, because the mean of its divisors is an integer number (6743414832).

Almost surely, 2427320319335 is an apocalyptic number.

427320319335 is an abundant number, since it is smaller than the sum of its proper divisors (435836779161).

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

427320319335 is a wasteful number, since it uses less digits than its factorization.

427320319335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17785.

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 427320319335 in words is "four hundred twenty-seven billion, three hundred twenty million, three hundred nineteen thousand, three hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 43 65 91 105 129 195 215 273 301 421 455 559 645 903 1263 1365 1505 1677 2105 2795 2947 3913 4515 5473 6315 8385 8841 11739 14735 16419 17293 18103 19565 27365 38311 44205 51879 54309 58695 82095 86465 90515 114933 121051 126721 191555 224809 235339 259395 271545 363153 380163 574665 605255 633605 674427 706017 743599 1124045 1176695 1573663 1647373 1815765 1900815 2230797 3372135 3530085 3717995 4720989 4942119 5205193 7280353 7868315 8236865 9666787 11153985 15615579 21841059 23604945 24710595 26025965 29000361 36401765 48333935 50962471 67667509 78077895 94644589 109205295 145001805 152887413 203002527 254812355 283933767 313055179 338337545 473222945 662512123 764437065 939165537 1015012635 1419668835 1565275895 1987536369 2191386253 3312560615 4069717327 4695827685 6574158759 9937681845 10956931265 12209151981 20348586635 28488021289 32870793795 61045759905 85464063867 142440106445 427320319335