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3454117753372 = 22111322693172489
BaseRepresentation
bin110010010000111001011…
…101100011001000011100
3110020012200101221100202221
4302100321131203020130
5423043013121101442
611202444430555124
7504360154320526
oct62207135431034
913205611840687
103454117753372
111111979472190
12479521068aa4
131c095004ab00
14bd274632a16
155ecb2267467
hex3243976321c

3454117753372 has 72 divisors (see below), whose sum is σ = 7143184858320. Its totient is φ = 1448733611520.

The previous prime is 3454117753367. The next prime is 3454117753379. The reversal of 3454117753372 is 2733577114543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454117753379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19938904 + ... + 20111392.

It is an arithmetic number, because the mean of its divisors is an integer number (99210900810).

Almost surely, 23454117753372 is an apocalyptic number.

It is an amenable number.

3454117753372 is an abundant number, since it is smaller than the sum of its proper divisors (3689067104948).

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

3454117753372 is a wasteful number, since it uses less digits than its factorization.

3454117753372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175223 (or 175208 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 52.

The spelling of 3454117753372 in words is "three trillion, four hundred fifty-four billion, one hundred seventeen million, seven hundred fifty-three thousand, three hundred seventy-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 169 286 338 572 676 1859 2693 3718 5386 7436 10772 29623 35009 59246 70018 118492 140036 172489 344978 385099 455117 689956 770198 910234 1540396 1820468 1897379 2242357 3794758 4484714 5006287 7589516 8969428 10012574 20025148 24665927 29150641 49331854 58301282 98663708 116602564 320657051 464512877 641314102 929025754 1282628204 1858051508 5109641647 6038667401 10219283294 12077334802 20438566588 24154669604 66425341411 78502676213 132850682822 157005352426 265701365644 314010704852 863529438343 1727058876686 3454117753372