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1453986328896 = 26323768223833
BaseRepresentation
bin10101001010001000010…
…101101011000101000000
312010222222210210110022200
4111022020111223011000
5142310231000011041
63031541353033200
7210022064606643
oct25121025530500
95128883713280
101453986328896
115106a5417232
121b59610b5800
13a71584bc79a
1450532531a5a
1527c4c9791b6
hex1528856b140

1453986328896 has 84 divisors (see below), whose sum is σ = 4280226897492. Its totient is φ = 471563126784.

The previous prime is 1453986328819. The next prime is 1453986328903. The reversal of 1453986328896 is 6988236893541.

It is a happy number.

1453986328896 is a `hidden beast` number, since 1 + 4 + 539 + 8 + 6 + 3 + 2 + 8 + 89 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 797691914496 + 656294414400 = 893136^2 + 810120^2 .

It is a super-2 number, since 2×14539863288962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34090605 + ... + 34133228.

It is an arithmetic number, because the mean of its divisors is an integer number (50955082113).

Almost surely, 21453986328896 is an apocalyptic number.

1453986328896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1453986328896 is an abundant number, since it is smaller than the sum of its proper divisors (2826240568596).

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

1453986328896 is a wasteful number, since it uses less digits than its factorization.

1453986328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68223888 (or 68223875 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 1453986328896 in words is "one trillion, four hundred fifty-three billion, nine hundred eighty-six million, three hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 68223833 136447666 204671499 272895332 409342998 545790664 614014497 818685996 1091581328 1228028994 1637371992 2183162656 2456057988 2524281821 3274743984 4366325312 4912115976 5048563642 6549487968 7572845463 9824231952 10097127284 13098975936 15145690926 19648463904 20194254568 22718536389 30291381852 39296927808 40388509136 45437072778 60582763704 80777018272 90874145556 121165527408 161554036544 181748291112 242331054816 363496582224 484662109632 726993164448 1453986328896