Search a number
-
+
6810407370819 = 32131923110748611
BaseRepresentation
bin110001100011010101111…
…1010011000000001000011
3220010001211222222111201100
41203012223322120001003
51343040203241331234
622252354041305443
71302015146336163
oct143065372300103
926101758874640
106810407370819
112196306460958
1291ba9b795283
133a52ac519150
141978a843a5a3
15bc24aca5399
hex631abe98043

6810407370819 has 144 divisors (see below), whose sum is σ = 11649669018624. Its totient is φ = 3806372995200.

The previous prime is 6810407370817. The next prime is 6810407370847. The reversal of 6810407370819 is 9180737040186.

It is not a de Polignac number, because 6810407370819 - 21 = 6810407370817 is a prime.

It is a super-2 number, since 2×68104073708192 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6810407370817) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 140075824 + ... + 140124434.

It is an arithmetic number, because the mean of its divisors is an integer number (80900479296).

Almost surely, 26810407370819 is an apocalyptic number.

6810407370819 is a deficient number, since it is larger than the sum of its proper divisors (4839261647805).

6810407370819 is a wasteful number, since it uses less digits than its factorization.

6810407370819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48806 (or 48784 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 6810407370819 in words is "six trillion, eight hundred ten billion, four hundred seven million, three hundred seventy thousand, eight hundred nineteen".

Divisors: 1 3 9 13 19 31 39 57 93 107 117 171 247 279 321 361 403 589 741 963 1083 1209 1391 1767 2033 2223 3249 3317 3627 4173 4693 5301 6099 7657 9951 11191 12519 14079 18297 22971 26429 29853 33573 38627 42237 43121 48611 63023 68913 79287 100719 115881 129363 145483 145833 189069 237861 347643 388089 436449 437499 502151 567207 631943 819299 923609 1197437 1309347 1506453 1506941 1895829 2457897 2770827 3592311 4519359 4520823 5201377 5687487 7373691 8312481 10776933 12006917 13562469 15566681 15604131 17548571 19590233 28631879 36020751 46700043 46812393 52645713 58770699 67617901 85895637 98826163 108062253 140100129 157937139 161242687 176312097 202853703 228131423 257686911 296478489 372214427 483728061 544005701 608561109 684394269 889435467 1116643281 1284740119 1451184183 1632017103 1877697097 2053182807 2096154931 3063611053 3349929843 3854220357 4896051309 5633091291 6288464793 7072074113 9190833159 11562661071 16899273873 18865394379 21216222339 24410062261 27572499477 39826943689 58208610007 63648667017 73230186783 119480831067 174625830021 219690560349 358442493201 523877490063 756711930091 2270135790273 6810407370819