Search a number
-
+
556034355315120 = 243511210619073983
BaseRepresentation
bin111111001101101011101011…
…0001110110100000110110000
32200220202100212020212022000010
41332123113112032310012300
51040340031324430040440
65250330353443454520
7225056104446434613
oct17633272616640660
92626670766768003
10556034355315120
11151195933876020
1252443224687440
131ab34a78c27786
149b442c64a417a
154443ae267d580
hex1f9b5d63b41b0

556034355315120 has 80 divisors (see below), whose sum is σ = 1880407092529152. Its totient is φ = 134796207348480.

The previous prime is 556034355315107. The next prime is 556034355315163. The reversal of 556034355315120 is 21513553430655.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5560343553151202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 556034355315120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105309534352 + ... + 105309539631.

Almost surely, 2556034355315120 is an apocalyptic number.

It is an amenable number.

556034355315120 is an abundant number, since it is smaller than the sum of its proper divisors (1324372737214032).

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

556034355315120 is a wasteful number, since it uses less digits than its factorization.

556034355315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210619074010 (or 210619074004 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 556034355315120 in words is "five hundred fifty-six trillion, thirty-four billion, three hundred fifty-five million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 210619073983 421238147966 631857221949 842476295932 1053095369915 1263714443898 1684952591864 2106190739830 2316809813813 2527428887796 3159286109745 3369905183728 4212381479660 4633619627626 5054857775592 6318572219490 6950429441439 8424762959320 9267239255252 10109715551184 11584049069065 12637144438980 13900858882878 16849525918640 18534478510504 23168098138130 25274288877960 27801717765756 34752147207195 37068957021008 46336196276260 50548577755920 55603435531512 69504294414390 92672392552520 111206871063024 139008588828780 185344785105040 278017177657560 556034355315120