Search a number
-
+
770354746768 = 241719893834373
BaseRepresentation
bin10110011010111001011…
…10001001010110010000
32201122102100100211200201
423031130232021112100
5100110141303344033
61345521315424544
7106441052210215
oct13153456112620
92648370324621
10770354746768
11277784198212
121053722b5154
135784b240209
14293dd0a1b0c
151508a8dd47d
hexb35cb89590

770354746768 has 160 divisors (see below), whose sum is σ = 1687006310400. Its totient is φ = 338616926208.

The previous prime is 770354746741. The next prime is 770354746829. The reversal of 770354746768 is 867647453077.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 176159430 + ... + 176163802.

It is an arithmetic number, because the mean of its divisors is an integer number (10543789440).

Almost surely, 2770354746768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770354746768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843503155200).

770354746768 is an abundant number, since it is smaller than the sum of its proper divisors (916651563632).

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

770354746768 is a wasteful number, since it uses less digits than its factorization.

770354746768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 64.

The spelling of 770354746768 in words is "seven hundred seventy billion, three hundred fifty-four million, seven hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 89 136 152 178 272 304 323 356 383 646 712 766 1292 1424 1513 1532 1691 2584 3026 3064 3382 4373 5168 6052 6128 6511 6764 7277 8746 12104 13022 13528 14554 17492 24208 26044 27056 28747 29108 34087 34984 52088 57494 58216 68174 69968 74341 83087 104176 114988 116432 123709 136348 148682 166174 229976 247418 272696 297364 332348 389197 459952 494836 545392 579479 594728 647653 664696 778394 989672 1158958 1189456 1295306 1329392 1412479 1556788 1674859 1979344 2317916 2590612 2824958 3113576 3349718 4635832 5181224 5649916 6227152 6616349 6699436 7394743 9271664 10362448 11010101 11299832 13232698 13398872 14789486 22020202 22599664 26465396 26797744 28472603 29578972 31822321 44040404 52930792 56945206 59157944 63644642 88080808 105861584 113890412 118315888 125710631 127289284 149062451 176161616 227780824 251421262 254578568 298124902 455561648 502842524 509157136 540979457 596249804 1005685048 1081958914 1192499608 2011370096 2163917828 2384999216 2534061667 2832186569 4327835656 5068123334 5664373138 8655671312 10136246668 11328746276 20272493336 22657492552 40544986672 45314985104 48147171673 96294343346 192588686692 385177373384 770354746768