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3489670892032 = 2913432283553
BaseRepresentation
bin110010110010000000100…
…110000000101000000000
3110100121110011102221022021
4302302000212000220000
5424133321222021112
611231044354051224
7510056204110153
oct62620046005000
913317404387267
103489670892032
111125a63274506
124843a3879b14
131c40c7a40770
14c0c883a7c9a
1560b9365a907
hex32c80980a00

3489670892032 has 120 divisors (see below), whose sum is σ = 7687587314484. Its totient is φ = 1573155569664.

The previous prime is 3489670892023. The next prime is 3489670892053. The reversal of 3489670892032 is 2302980769843.

It can be written as a sum of positive squares in 2 ways, for example, as 3407361577216 + 82309314816 = 1845904^2 + 286896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12165168 + ... + 12448720.

Almost surely, 23489670892032 is an apocalyptic number.

3489670892032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3489670892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843793657242).

3489670892032 is an abundant number, since it is smaller than the sum of its proper divisors (4197916422452).

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

3489670892032 is an equidigital number, since it uses as much as digits as its factorization.

3489670892032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283670 (or 283611 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 3489670892032 in words is "three trillion, four hundred eighty-nine billion, six hundred seventy million, eight hundred ninety-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 1118 1376 1664 1849 2236 2752 3328 3698 4472 5504 6656 7396 8944 11008 14792 17888 22016 24037 29584 35776 48074 59168 71552 96148 118336 143104 192296 236672 283553 286208 384592 473344 567106 769184 946688 1134212 1538368 2268424 3076736 3686189 4536848 6153472 7372378 9073696 12192779 12306944 14744756 18147392 24385558 29489512 36294784 48771116 58979024 72589568 97542232 117958048 145179136 158506127 195084464 235916096 317012254 390168928 471832192 524289497 634024508 780337856 943664384 1048578994 1268049016 1560675712 1887328768 2097157988 2536098032 3121351424 4194315976 5072196064 6242702848 6815763461 8388631952 10144392128 13631526922 16777263904 20288784256 27263053844 33554527808 40577568512 54526107688 67109055616 81155137024 109052215376 134218111232 218104430752 268436222464 436208861504 872417723008 1744835446016 3489670892032