Search a number
-
+
1050010611056 = 2411131151301601
BaseRepresentation
bin11110100011110011000…
…00100110110101110000
310201101021001012200201222
433101321200212311300
5114200410204023211
62122211311244212
7135601145634551
oct17217140466560
93641231180658
101050010611056
11375341686210
1214b5ba519668
13780282b22a4
1438b6c33a328
151c4a70051db
hexf479826d70

1050010611056 has 80 divisors (see below), whose sum is σ = 2251099420416. Its totient is φ = 470496000000.

The previous prime is 1050010611029. The next prime is 1050010611061. The reversal of 1050010611056 is 6501160100501.

1050010611056 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 2×10500106110562 (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 15 ways as a sum of consecutive naturals, for example, 3330656 + ... + 3632256.

Almost surely, 21050010611056 is an apocalyptic number.

1050010611056 is a gapful number since it is divisible by the number (16) 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 1050010611056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125549710208).

1050010611056 is an abundant number, since it is smaller than the sum of its proper divisors (1201088809360).

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

1050010611056 is a wasteful number, since it uses less digits than its factorization.

1050010611056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301902 (or 301896 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 1050010611056 its reverse (6501160100501), we get a palindrome (7551170711557).

The spelling of 1050010611056 in words is "one trillion, fifty billion, ten million, six hundred eleven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 131 151 176 262 302 524 604 1048 1208 1441 1661 2096 2416 2882 3322 5764 6644 11528 13288 19781 23056 26576 39562 79124 158248 217591 301601 316496 435182 603202 870364 1206404 1740728 2412808 3317611 3481456 4825616 6635222 13270444 26540888 39509731 45541751 53081776 79019462 91083502 158038924 182167004 316077848 364334008 434607041 500959261 632155696 728668016 869214082 1001918522 1738428164 2003837044 3476856328 4007674088 5965969381 6953712656 8015348176 11931938762 23863877524 47727755048 65625663191 95455510096 131251326382 262502652764 525005305528 1050010611056