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1361253667648 = 26715313198427
BaseRepresentation
bin10011110011110001000…
…010101001001101000000
311211010122002221011200111
4103303301002221031000
5134300321414331043
62521203514201104
7200230064155660
oct23636102511500
94733562834614
101361253667648
11485339231316
1219b9a1123194
139b49a4b96b4
1449c5673c1a0
152562176509d
hex13cf10a9340

1361253667648 has 56 divisors (see below), whose sum is σ = 3087346014272. Its totient is φ = 583353391104.

The previous prime is 1361253667643. The next prime is 1361253667687. The reversal of 1361253667648 is 8467663521631.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1361253667592 and 1361253667601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361253667643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6761011 + ... + 6959437.

Almost surely, 21361253667648 is an apocalyptic number.

It is an amenable number.

1361253667648 is an abundant number, since it is smaller than the sum of its proper divisors (1726092346624).

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

1361253667648 is a wasteful number, since it uses less digits than its factorization.

1361253667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213759 (or 213749 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 1361253667648 in words is "one trillion, three hundred sixty-one billion, two hundred fifty-three million, six hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 15313 30626 61252 107191 122504 198427 214382 245008 396854 428764 490016 793708 857528 980032 1388989 1587416 1715056 2777978 3174832 3430112 5555956 6349664 6860224 11111912 12699328 22223824 44447648 88895296 3038512651 6077025302 12154050604 21269588557 24308101208 42539177114 48616202416 85078354228 97232404832 170156708456 194464809664 340313416912 680626833824 1361253667648