Search a number
-
+
5106746033114 = 2111953401631911
BaseRepresentation
bin100101001010000000111…
…0010001000001111011010
3200002012101220121110101012
41022110001302020033122
51132132103441024424
614510001242253522
71034643633033515
oct112240162101732
920065356543335
105106746033114
111699839004140
126a587aab72a2
132b07443a877b
1413924c733d7c
158cc88d0ab0e
hex4a501c883da

5106746033114 has 128 divisors (see below), whose sum is σ = 9008743587840. Its totient is φ = 2146435200000.

The previous prime is 5106746033027. The next prime is 5106746033141. The reversal of 5106746033114 is 4113306476015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5605648319 + ... + 5605649229.

It is an arithmetic number, because the mean of its divisors is an integer number (70380809280).

Almost surely, 25106746033114 is an apocalyptic number.

5106746033114 is a deficient number, since it is larger than the sum of its proper divisors (3901997554726).

5106746033114 is a wasteful number, since it uses less digits than its factorization.

5106746033114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 5106746033114 in words is "five trillion, one hundred six billion, seven hundred forty-six million, thirty-three thousand, one hundred fourteen".

Divisors: 1 2 11 19 22 38 53 106 209 401 418 583 631 802 911 1007 1166 1262 1822 2014 4411 6941 7619 8822 10021 11077 11989 13882 15238 17309 20042 21253 22154 23978 33443 34618 42506 48283 66886 83809 96566 131879 167618 190399 233783 253031 263758 365311 367873 380798 403807 467566 506062 531113 574841 635417 730622 735746 807614 917377 1062226 1149682 1270834 1834754 2783341 4018421 4441877 4807589 5566682 6323251 6940909 6989587 8036842 8883754 9615178 10091147 10921979 12646502 13410643 13881818 13979174 19361483 20182294 21843958 26821286 30466573 38722966 52883479 60933146 76349999 105766958 120141769 147517073 152699998 212976313 230511241 240283538 254802217 295034146 335132303 367868177 425952626 461022482 509604434 578864887 670264606 735736354 1157729774 2535623651 2802824387 4046549947 4379713579 5071247302 5605648774 6367513757 8093099894 8759427158 12217095773 12735027514 24434191546 48176849369 96353698738 134388053503 232124819687 268776107006 464249639374 2553373016557 5106746033114