Search a number
-
+
2042116722555 = 3571315198310079
BaseRepresentation
bin11101101101110111101…
…001000100111101111011
321020020001121220000221020
4131231313221010331323
5231424223340110210
64202045132313523
7300352361511450
oct35556751047573
97206047800836
102042116722555
11718069719908
1228b9389128a3
1311a75600b190
1470ba621b827
15381c0731770
hex1db77a44f7b

2042116722555 has 128 divisors (see below), whose sum is σ = 4052550942720. Its totient is φ = 855065894400.

The previous prime is 2042116722533. The next prime is 2042116722599. The reversal of 2042116722555 is 5552276112402.

It is not a de Polignac number, because 2042116722555 - 25 = 2042116722523 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202606006 + ... + 202616084.

It is an arithmetic number, because the mean of its divisors is an integer number (31660554240).

Almost surely, 22042116722555 is an apocalyptic number.

2042116722555 is a deficient number, since it is larger than the sum of its proper divisors (2010434220165).

2042116722555 is a wasteful number, since it uses less digits than its factorization.

2042116722555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241.

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 2042116722555 in words is "two trillion, forty-two billion, one hundred sixteen million, seven hundred twenty-two thousand, five hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 151 195 273 453 455 755 983 1057 1365 1963 2265 2949 3171 4915 5285 5889 6881 9815 10079 12779 13741 14745 15855 20643 29445 30237 34405 38337 41223 50395 63895 68705 70553 89453 103215 131027 148433 151185 191685 206115 211659 268359 352765 393081 445299 447265 655135 742165 917189 1039031 1058295 1341795 1521929 1929629 1965405 2226495 2751567 3117093 4565787 4585945 5195155 5788887 7609645 9648145 9907657 10653503 13507403 13757835 15585465 19785077 22828935 28944435 29722971 31960509 40522209 49538285 53267515 59355231 67537015 69353599 98925385 128799541 138495539 148614855 159802545 202611045 208060797 296776155 346767995 386398623 415486617 643997705 692477695 901596787 1040303985 1496056207 1931993115 2077433085 2704790361 4488168621 4507983935 7480281035 10472393449 13523951805 19448730691 22440843105 31417180347 52361967245 58346192073 97243653455 136141114837 157085901735 291730960365 408423344511 680705574185 2042116722555