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135370726056256 = 2617332940141513
BaseRepresentation
bin11110110001111001110100…
…000010100010000101000000
3122202022022111122121100202011
4132301321310002202011000
5120220403221332300011
61155524241504302304
740341132534022105
oct3661716402420500
9582268448540664
10135370726056256
113a151447829949
1213223906311994
135a6c535155982
14255dd99c9aaac
15109b4836a7621
hex7b1e740a2140

135370726056256 has 56 divisors (see below), whose sum is σ = 268796907788904. Its totient is φ = 67642375987200.

The previous prime is 135370726056253. The next prime is 135370726056281. The reversal of 135370726056256 is 652650627073531.

It can be written as a sum of positive squares in 4 ways, for example, as 10092312385600 + 125278413670656 = 3176840^2 + 11192784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135370726056256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135370726056253) 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 7 ways as a sum of consecutive naturals, for example, 3260902956 + ... + 3260944468.

Almost surely, 2135370726056256 is an apocalyptic number.

135370726056256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135370726056256 is a deficient number, since it is larger than the sum of its proper divisors (133426181732648).

135370726056256 is a wasteful number, since it uses less digits than its factorization.

135370726056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72659 (or 72649 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 58.

The spelling of 135370726056256 in words is "one hundred thirty-five trillion, three hundred seventy billion, seven hundred twenty-six million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 1733 3466 6932 13864 27728 29401 41513 55456 58802 83026 110912 117604 166052 235208 332104 470416 664208 940832 1328416 1881664 2656832 50951933 71942029 101903866 143884058 203807732 287768116 407615464 575536232 815230928 1151072464 1220523713 1630461856 2302144928 2441047426 3260923712 4604289856 4882094852 9764189704 19528379408 39056758816 78113517632 2115167594629 4230335189258 8460670378516 16921340757032 33842681514064 67685363028128 135370726056256