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352826496064 = 2672106072
BaseRepresentation
bin1010010001001100001…
…10010001010001000000
31020201201002022002001101
411020212012101101000
521240042040333224
6430030344144144
734330240506400
oct5104606212100
91221632262041
10352826496064
111266a63a4709
1258468a68054
132736b3449c3
1413110dd2800
1592a0274044
hex5226191440

352826496064 has 63 divisors (see below), whose sum is σ = 814525453623. Its totient is φ = 151197099648.

The previous prime is 352826496019. The next prime is 352826496067. The reversal of 352826496064 is 460694628253.

The square root of 352826496064 is 593992.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 352826495996 and 352826496014.

It is not an unprimeable number, because it can be changed into a prime (352826496067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33258249 + ... + 33268855.

Almost surely, 2352826496064 is an apocalyptic number.

352826496064 is the 593992-nd square number.

It is an amenable number.

352826496064 is an abundant number, since it is smaller than the sum of its proper divisors (461698957559).

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

352826496064 is an frugal number, since it uses more digits than its factorization.

352826496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21240 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 352826496064 in words is "three hundred fifty-two billion, eight hundred twenty-six million, four hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 10607 21214 42428 74249 84856 148498 169712 296996 339424 519743 593992 678848 1039486 1187984 2078972 2375968 4157944 4751936 8315888 16631776 33263552 112508449 225016898 450033796 787559143 900067592 1575118286 1800135184 3150236572 3600270368 5512914001 6300473144 7200540736 11025828002 12600946288 22051656004 25201892576 44103312008 50403785152 88206624016 176413248032 352826496064