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13773923072 = 287133131889
BaseRepresentation
bin11001101001111110…
…10110001100000000
31022112221001210022222
430310333112030000
5211202111014242
610154434550212
7665221262060
oct146477261400
938487053288
1013773923072
1159290252a8
122804a38368
1313b6824450
149494673a0
155593775d2
hex334fd6300

13773923072 has 144 divisors (see below), whose sum is σ = 33964902720. Its totient is φ = 5428740096.

The previous prime is 13773923029. The next prime is 13773923077. The reversal of 13773923072 is 27032937731.

It is not an unprimeable number, because it can be changed into a prime (13773923077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7290704 + ... + 7292592.

It is an arithmetic number, because the mean of its divisors is an integer number (235867380).

Almost surely, 213773923072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13773923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982451360).

13773923072 is an abundant number, since it is smaller than the sum of its proper divisors (20190979648).

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

13773923072 is a wasteful number, since it uses less digits than its factorization.

13773923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 44.

The spelling of 13773923072 in words is "thirteen billion, seven hundred seventy-three million, nine hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 313 364 416 448 626 728 832 896 1252 1456 1664 1792 1889 2191 2504 2912 3328 3778 4069 4382 5008 5824 7556 8138 8764 10016 11648 13223 15112 16276 17528 20032 23296 24557 26446 28483 30224 32552 35056 40064 49114 52892 56966 60448 65104 70112 80128 98228 105784 113932 120896 130208 140224 171899 196456 211568 227864 241792 260416 280448 343798 392912 423136 455728 483584 520832 560896 591257 687596 785824 846272 911456 1041664 1182514 1375192 1571648 1692544 1822912 2365028 2750384 3143296 3385088 3645824 4138799 4730056 5500768 6286592 7291648 7686341 8277598 9460112 11001536 15372682 16555196 18920224 22003072 30745364 33110392 37840448 44006144 53804387 61490728 66220784 75680896 107608774 122981456 132441568 151361792 215217548 245962912 264883136 430435096 491925824 529766272 860870192 983851648 1059532544 1721740384 1967703296 3443480768 6886961536 13773923072