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1052993947808 = 25115389634187
BaseRepresentation
bin11110101001010110101…
…01001000100010100000
310201122221221212220101202
433110223111020202200
5114223012422312213
62123423322420332
7136035112606415
oct17245325104240
93648857786352
101052993947808
113766326a5280
121500b16616a8
13783b23b10ca
1438d7264610c
151c5cdda6b58
hexf52b5488a0

1052993947808 has 96 divisors (see below), whose sum is σ = 2330108182080. Its totient is φ = 464325621760.

The previous prime is 1052993947807. The next prime is 1052993947847. The reversal of 1052993947808 is 8087493992501.

It is a super-2 number, since 2×10529939478082 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052993947801) 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 15 ways as a sum of consecutive naturals, for example, 1343291 + ... + 1977477.

It is an arithmetic number, because the mean of its divisors is an integer number (24271960230).

Almost surely, 21052993947808 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 1052993947808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165054091040).

1052993947808 is an abundant number, since it is smaller than the sum of its proper divisors (1277114234272).

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

1052993947808 is a wasteful number, since it uses less digits than its factorization.

1052993947808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634350 (or 634342 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 65.

The spelling of 1052993947808 in words is "one trillion, fifty-two billion, nine hundred ninety-three million, nine hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 89 106 176 178 212 352 356 424 583 712 848 979 1166 1424 1696 1958 2332 2848 3916 4664 4717 7832 9328 9434 15664 18656 18868 31328 37736 51887 75472 103774 150944 207548 415096 634187 830192 1268374 1660384 2536748 5073496 6976057 10146992 13952114 20293984 27904228 33611911 55808456 56442643 67223822 111616912 112885286 134447644 223233824 225770572 268895288 369731021 451541144 537790576 620869073 739462042 903082288 1075581152 1241738146 1478924084 1806164576 2483476292 2957848168 2991460079 4966952584 5915696336 5982920158 9933905168 11831392672 11965840316 19867810336 23931680632 32906060869 47863361264 65812121738 95726722528 131624243476 263248486952 526496973904 1052993947808