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135603403455104 = 2713731116334657
BaseRepresentation
bin11110110101010010100000…
…101100010111101010000000
3122210010120002100011220100222
4132311102200230113222000
5120233211232241030404
61200223202112402212
740364010515206364
oct3665224054275200
9583116070156328
10135603403455104
113a2310980934a2
1213260a21546368
135a8846643c2c0
14256b34dc152a4
1510a2550823dbe
hex7b54a0b17a80

135603403455104 has 64 divisors (see below), whose sum is σ = 294913289950440. Its totient is φ = 61728841138176.

The previous prime is 135603403455049. The next prime is 135603403455137. The reversal of 135603403455104 is 401554304306531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58978590781504 + 76624812673600 = 7679752^2 + 8753560^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1356034034551042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558045857 + ... + 558288800.

Almost surely, 2135603403455104 is an apocalyptic number.

It is an amenable number.

135603403455104 is an abundant number, since it is smaller than the sum of its proper divisors (159309886495336).

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

135603403455104 is a wasteful number, since it uses less digits than its factorization.

135603403455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116334757 (or 1116334745 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 135603403455104 in words is "one hundred thirty-five trillion, six hundred three billion, four hundred three million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 292 416 584 832 949 1168 1664 1898 2336 3796 4672 7592 9344 15184 30368 60736 121472 1116334657 2232669314 4465338628 8930677256 14512350541 17861354512 29024701082 35722709024 58049402164 71445418048 81492429961 116098804328 142890836096 162984859922 232197608656 325969719844 464395217312 651939439688 928790434624 1059401589493 1303878879376 1857580869248 2118803178986 2607757758752 4237606357972 5215515517504 8475212715944 10431031035008 16950425431888 33900850863776 67801701727552 135603403455104