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32448590428356 = 22325317006598757
BaseRepresentation
bin1110110000011000001101…
…01101001011100011000100
311020220001111001120111021200
413120030012231023203010
513223114203122201411
6153002402053542500
76556222214541564
oct730140655134304
9136801431514250
1032448590428356
11a380408400243
123780907344a30
131514b730312bb
1480273d448da4
153b40e040de56
hex1d8306b4b8c4

32448590428356 has 36 divisors (see below), whose sum is σ = 83570426296812. Its totient is φ = 10612117623744.

The previous prime is 32448590428351. The next prime is 32448590428369. The reversal of 32448590428356 is 65382409584423.

32448590428356 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 8 + 590 + 4 + 2 + 8 + 35 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28966634428356 + 3481956000000 = 5382066^2 + 1866000^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×324485904283562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32448590428293 and 32448590428302.

It is not an unprimeable number, because it can be changed into a prime (32448590428351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8503297471 + ... + 8503301286.

It is an arithmetic number, because the mean of its divisors is an integer number (2321400730467).

Almost surely, 232448590428356 is an apocalyptic number.

32448590428356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32448590428356 is an abundant number, since it is smaller than the sum of its proper divisors (51121835868456).

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

32448590428356 is a wasteful number, since it uses less digits than its factorization.

32448590428356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17006598820 (or 17006598815 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 32448590428356 in words is "thirty-two trillion, four hundred forty-eight billion, five hundred ninety million, four hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 17006598757 34013197514 51019796271 68026395028 102039592542 153059388813 204079185084 306118777626 612237555252 901349734121 1802699468242 2704049202363 3605398936484 5408098404726 8112147607089 10816196809452 16224295214178 32448590428356