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1050105054404 = 227247787314479
BaseRepresentation
bin11110100011111110010…
…00111000010011000100
310201101111121220220122202
433101333020320103010
5114201103343220104
62122224523414032
7135603403454600
oct17217710702304
93641447826582
101050105054404
1137538aa2196a
1214b626084318
1378041a2b823
1438b7aac2500
151c4b045d51e
hexf47f2384c4

1050105054404 has 72 divisors (see below), whose sum is σ = 2183625239040. Its totient is φ = 440383233024.

The previous prime is 1050105054373. The next prime is 1050105054433. The reversal of 1050105054404 is 4044505010501.

1050105054404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10501050544042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72518837 + ... + 72533315.

It is an arithmetic number, because the mean of its divisors is an integer number (30328128320).

Almost surely, 21050105054404 is an apocalyptic number.

1050105054404 is a gapful number since it is divisible by the number (14) 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 1050105054404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091812619520).

1050105054404 is an abundant number, since it is smaller than the sum of its proper divisors (1133520184636).

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

1050105054404 is a wasteful number, since it uses less digits than its factorization.

1050105054404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22417 (or 22408 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 1050105054404 in words is "one trillion, fifty billion, one hundred five million, fifty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 2303 4606 7873 9212 14479 15746 28958 31492 55111 57916 101353 110222 202706 220444 370031 385777 405412 680513 709471 740062 771554 1361026 1418942 1480124 1543108 2590217 2722052 2837884 4763591 5180434 9527182 10360868 18131519 19054364 33345137 36263038 66690274 72526076 113993167 133380548 227986334 455972668 797952169 1595904338 3191808676 5357678849 5585665183 10715357698 11171330366 21430715396 22342660732 37503751943 75007503886 150015007772 262526263601 525052527202 1050105054404