Search a number
-
+
1055134621560 = 233583131808681
BaseRepresentation
bin11110101101010101110…
…11001001111101111000
310201212111010221101201210
433112222323021331320
5114241403430342220
62124415552443120
7136142135205645
oct17265273117570
93655433841653
101055134621560
11377530a94138
121505aa5494a0
1378663a40376
14390d6a7cdcc
151c6a6ca56e0
hexf5aaec9f78

1055134621560 has 128 divisors (see below), whose sum is σ = 3227999765760. Its totient is φ = 275856921600.

The previous prime is 1055134621549. The next prime is 1055134621573. The reversal of 1055134621560 is 651264315501.

It is a super-2 number, since 2×10551346215602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900420 + ... + 1709100.

It is an arithmetic number, because the mean of its divisors is an integer number (25218748170).

Almost surely, 21055134621560 is an apocalyptic number.

1055134621560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055134621560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613999882880).

1055134621560 is an abundant number, since it is smaller than the sum of its proper divisors (2172865144200).

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

1055134621560 is a wasteful number, since it uses less digits than its factorization.

1055134621560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808909 (or 808905 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 1055134621560 in words is "one trillion, fifty-five billion, one hundred thirty-four million, six hundred twenty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 131 166 249 262 332 393 415 498 524 655 664 786 830 996 1048 1245 1310 1572 1660 1965 1992 2490 2620 3144 3320 3930 4980 5240 7860 9960 10873 15720 21746 32619 43492 54365 65238 86984 108730 130476 163095 217460 260952 326190 434920 652380 808681 1304760 1617362 2426043 3234724 4043405 4852086 6469448 8086810 9704172 12130215 16173620 19408344 24260430 32347240 48520860 67120523 97041720 105937211 134241046 201361569 211874422 268482092 317811633 335602615 402723138 423748844 529686055 536964184 635623266 671205230 805446276 847497688 1006807845 1059372110 1271246532 1342410460 1589058165 1610892552 2013615690 2118744220 2542493064 2684820920 3178116330 4027231380 4237488440 6356232660 8054462760 8792788513 12712465320 17585577026 26378365539 35171154052 43963942565 52756731078 70342308104 87927885130 105513462156 131891827695 175855770260 211026924312 263783655390 351711540520 527567310780 1055134621560