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1375821990432 = 2534230392
BaseRepresentation
bin10100000001010101011…
…000011000101000100000
311212112020101210122120000
4110001111120120220200
5140020140412143212
62532013252020000
7201254102651151
oct24012530305040
94775211718500
101375821990432
114905347118aa
121a2788001600
139c97c782936
144a8394b3928
1525bc570a1dc
hex14055618a20

1375821990432 has 90 divisors (see below), whose sum is σ = 4046429890503. Its totient is φ = 458587424448.

The previous prime is 1375821990377. The next prime is 1375821990443. The reversal of 1375821990432 is 2340991285731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1375821990432 is a `hidden beast` number, since 1 + 3 + 7 + 582 + 19 + 9 + 0 + 43 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 687910995216 + 687910995216 = 829404^2 + 829404^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=829404.

It is a super-2 number, since 2×13758219904322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 59705569 + ... + 59728607.

Almost surely, 21375821990432 is an apocalyptic number.

1375821990432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1375821990432 is an abundant number, since it is smaller than the sum of its proper divisors (2670607900071).

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

1375821990432 is an frugal number, since it uses more digits than its factorization.

1375821990432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46100 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1375821990432 in words is "one trillion, three hundred seventy-five billion, eight hundred twenty-one million, nine hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 23039 46078 69117 92156 138234 184312 207351 276468 368624 414702 552936 622053 737248 829404 1105872 1244106 1658808 1866159 2211744 2488212 3317616 3732318 4976424 6635232 7464636 9952848 14929272 19905696 29858544 59717088 530795521 1061591042 1592386563 2123182084 3184773126 4246364168 4777159689 6369546252 8492728336 9554319378 12739092504 14331479067 16985456672 19108638756 25478185008 28662958134 38217277512 42994437201 50956370016 57325916268 76434555024 85988874402 114651832536 152869110048 171977748804 229303665072 343955497608 458607330144 687910995216 1375821990432