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1001055606056 = 2311471049230729
BaseRepresentation
bin11101001000100111001…
…00000101010100101000
310112200220021201202202122
432210103210011110220
5112400130213343211
62043513435450412
7132216043153502
oct16442344052450
93480807652678
101001055606056
113565aa8793a0
121420175b6a08
1373525ba49cc
143664670ad72
151b08e27d6db
hexe913905528

1001055606056 has 64 divisors (see below), whose sum is σ = 2093182560000. Its totient is φ = 444917416960.

The previous prime is 1001055606053. The next prime is 1001055606139. The reversal of 1001055606056 is 6506065501001.

It is a super-2 number, since 2×10010556060562 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001055606053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4223300 + ... + 4454028.

It is an arithmetic number, because the mean of its divisors is an integer number (32705977500).

Almost surely, 21001055606056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001055606056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046591280000).

1001055606056 is an abundant number, since it is smaller than the sum of its proper divisors (1092126953944).

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

1001055606056 is a wasteful number, since it uses less digits than its factorization.

1001055606056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231842 (or 231838 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 1001055606056 in words is "one trillion, one billion, fifty-five million, six hundred six thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 1049 2068 2098 4136 4196 8392 11539 23078 46156 49303 92312 98606 197212 230729 394424 461458 542333 922916 1084666 1845832 2169332 2538019 4338664 5076038 10152076 10844263 20304152 21688526 43377052 86754104 119286893 238573786 242034721 477147572 484069442 954295144 968138884 1936277768 2662381931 5324763862 10649527724 11375631887 21299055448 22751263774 45502527548 91005055096 125131950757 250263901514 500527803028 1001055606056