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1046050005952 = 26767101345047
BaseRepresentation
bin11110011100011010111…
…00000110001111000000
310201000001000122002221001
433032031130012033000
5114114302300142302
62120314305541344
7135401044226110
oct17161534061700
93630030562831
101046050005952
11373699a59a56
1214a894044854
13778468a4b83
14388b431d040
151c324462787
hexf38d7063c0

1046050005952 has 112 divisors (see below), whose sum is σ = 2431544974848. Its totient is φ = 437242291200.

The previous prime is 1046050005899. The next prime is 1046050005967. The reversal of 1046050005952 is 2595000506401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10460500059522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859093 + ... + 3204139.

Almost surely, 21046050005952 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 1046050005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215772487424).

1046050005952 is an abundant number, since it is smaller than the sum of its proper divisors (1385494968896).

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

1046050005952 is a wasteful number, since it uses less digits than its factorization.

1046050005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345234 (or 345224 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 1046050005952 in words is "one trillion, forty-six billion, fifty million, five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 101 112 134 202 224 268 404 448 469 536 707 808 938 1072 1414 1616 1876 2144 2828 3232 3752 4288 5656 6464 6767 7504 11312 13534 15008 22624 27068 30016 45248 47369 54136 94738 108272 189476 216544 345047 378952 433088 690094 757904 1380188 1515808 2415329 2760376 3031616 4830658 5520752 9661316 11041504 19322632 22083008 23118149 34849747 38645264 46236298 69699494 77290528 92472596 139398988 154581056 161827043 184945192 243948229 278797976 323654086 369890384 487896458 557595952 647308172 739780768 975792916 1115191904 1294616344 1479561536 1951585832 2230383808 2334933049 2589232688 3903171664 4669866098 5178465376 7806343328 9339732196 10356930752 15612686656 16344531343 18679464392 32689062686 37358928784 65378125372 74717857568 130756250744 149435715136 261512501488 523025002976 1046050005952