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1000896552072 = 2332162121374013
BaseRepresentation
bin11101001000010100001…
…01010101110010001000
310112200111012102222201100
432210022011111302020
5112344314004131242
62043445554421400
7132212102214324
oct16441205256210
93480435388640
101000896552072
1135652901281a
12141b92291860
13734cbc55a21
143662d546984
151b08031154c
hexe90a155c88

1000896552072 has 96 divisors (see below), whose sum is σ = 2714379272280. Its totient is φ = 333187292160.

The previous prime is 1000896552067. The next prime is 1000896552079. The reversal of 1000896552072 is 2702556980001.

1000896552072 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 96 + 552 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 882949639716 + 117946912356 = 939654^2 + 343434^2 .

It is a super-3 number, since 3×10008965520723 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000896552079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249411538 + ... + 249415550.

Almost surely, 21000896552072 is an apocalyptic number.

1000896552072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000896552072 is an abundant number, since it is smaller than the sum of its proper divisors (1713482720208).

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

1000896552072 is a wasteful number, since it uses less digits than its factorization.

1000896552072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1000896552072 in words is "one trillion, eight hundred ninety-six million, five hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1621 2137 3242 4013 4274 4863 6411 6484 8026 8548 9726 12039 12822 12968 14589 16052 17096 19233 19452 24078 25644 29178 32104 36117 38466 38904 48156 51288 58356 72234 76932 96312 116712 144468 153864 288936 3464077 6505073 6928154 8575781 10392231 13010146 13856308 17151562 19515219 20784462 25727343 26020292 27712616 31176693 34303124 39030438 41568924 51454686 52040584 58545657 62353386 68606248 77182029 78060876 83137848 102909372 117091314 124706772 154364058 156121752 205818744 234182628 249413544 308728116 468365256 617456232 13901341001 27802682002 41704023003 55605364004 83408046006 111210728008 125112069009 166816092012 250224138018 333632184024 500448276036 1000896552072