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10995444758004 = 2237243547795023
BaseRepresentation
bin1010000000000001001110…
…0101000011010111110100
31102221011011110011102000220
42200000103211003113310
52420122132324224004
635215123152534340
72213252241233400
oct240002345032764
942834143142026
1010995444758004
11355a161a08203
121296ba82513b0
13619b347781a5
142a027a5aa100
1514103b807dd9
hexa00139435f4

10995444758004 has 144 divisors (see below), whose sum is σ = 30594711426048. Its totient is φ = 3062882676672.

The previous prime is 10995444757981. The next prime is 10995444758009. The reversal of 10995444758004 is 40085744459901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10995444758009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13432837 + ... + 14227859.

It is an arithmetic number, because the mean of its divisors is an integer number (212463273792).

Almost surely, 210995444758004 is an apocalyptic number.

10995444758004 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 10995444758004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297355713024).

10995444758004 is an abundant number, since it is smaller than the sum of its proper divisors (19599266668044).

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

10995444758004 is a wasteful number, since it uses less digits than its factorization.

10995444758004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795634 (or 795625 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 10995444758004 in words is "ten trillion, nine hundred ninety-five billion, four hundred forty-four million, seven hundred fifty-eight thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 547 588 602 903 1094 1204 1641 1806 2107 2188 3282 3612 3829 4214 6321 6564 7658 8428 11487 12642 15316 22974 23521 25284 26803 45948 47042 53606 70563 80409 94084 107212 141126 160818 164647 282252 321636 329294 493941 658588 795023 987882 1152529 1590046 1975764 2305058 2385069 3180092 3457587 4610116 4770138 5565161 6915174 9540276 11130322 13830348 16695483 22260644 33390966 34185989 38956127 66781932 68371978 77912254 102557967 116868381 136743956 155824508 205115934 233736762 239301923 410231868 434877581 467473524 478603846 717905769 869755162 957207692 1304632743 1435811538 1675113461 1739510324 2609265486 2871623076 3044143067 3350226922 5025340383 5218530972 6088286134 6700453844 9132429201 10050680766 12176572268 18264858402 18699735983 20101361532 21309001469 36529716804 37399471966 42618002938 56099207949 63927004407 74798943932 85236005876 112198415898 127854008814 130898151881 224396831796 255708017628 261796303762 392694455643 523592607524 785388911286 916287063167 1570777822572 1832574126334 2748861189501 3665148252668 5497722379002 10995444758004