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1050055511160 = 233537866927281
BaseRepresentation
bin11110100011111000010…
…11111000110001111000
310201101101011200212002210
433101330023320301320
5114201003202324120
62122215553455120
7135602232401625
oct17217413706170
93641334625083
101050055511160
11375364a63337
1214b6115714a0
13780346a32b6
1438b742a734c
151c4aae23ce0
hexf47c2f8c78

1050055511160 has 128 divisors (see below), whose sum is σ = 3235797979200. Its totient is φ = 272405422080.

The previous prime is 1050055511159. The next prime is 1050055511161. The reversal of 1050055511160 is 611155500501.

It is an interprime number because it is at equal distance from previous prime (1050055511159) and next prime (1050055511161).

It is a super-2 number, since 2×10500555111602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050055511161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38476720 + ... + 38504000.

Almost surely, 21050055511160 is an apocalyptic number.

1050055511160 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 1050055511160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617898989600).

1050055511160 is an abundant number, since it is smaller than the sum of its proper divisors (2185742468040).

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

1050055511160 is a wasteful number, since it uses less digits than its factorization.

1050055511160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36001 (or 35997 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

It can be divided in two parts, 105005 and 5511160, that added together give a palindrome (5616165).

The spelling of 1050055511160 in words is "one trillion, fifty billion, fifty-five million, five hundred eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 8669 17338 26007 27281 34676 43345 52014 54562 69352 81843 86690 104028 109124 130035 136405 163686 173380 208056 218248 260070 272810 320753 327372 346760 409215 520140 545620 641506 654744 818430 962259 1009397 1040280 1091240 1283012 1603765 1636860 1924518 2018794 2566024 3028191 3207530 3273720 3849036 4037588 4811295 5046985 6056382 6415060 7698072 8075176 9622590 10093970 12112764 12830120 15140955 19245180 20187940 24225528 30281910 38490360 40375880 60563820 121127640 236498989 472997978 709496967 945995956 1182494945 1418993934 1891991912 2364989890 2837987868 3547484835 4729979780 5675975736 7094969670 8750462593 9459959560 14189939340 17500925186 26251387779 28379878680 35001850372 43752312965 52502775558 70003700744 87504625930 105005551116 131256938895 175009251860 210011102232 262513877790 350018503720 525027755580 1050055511160