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6505940376441 = 351143197287327
BaseRepresentation
bin101111010101100100001…
…0000111101101101111001
3212000221222011121122200000
41132223020100331231321
51323043131214021231
621500442053103213
71241016160520352
oct136531020755571
925027864548600
106505940376441
112089176807670
12890a8a327b09
1338267a0cbacc
14186c63d40d29
15b437b3776e6
hex5eac843db79

6505940376441 has 96 divisors (see below), whose sum is σ = 10933984309248. Its totient is φ = 3831733563840.

The previous prime is 6505940376421. The next prime is 6505940376457. The reversal of 6505940376441 is 1446730495056.

It is a happy number.

6505940376441 is a `hidden beast` number, since 6 + 5 + 0 + 594 + 0 + 3 + 7 + 6 + 4 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2k-6505940376441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6505940376421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22499320 + ... + 22786646.

It is an arithmetic number, because the mean of its divisors is an integer number (113895669888).

Almost surely, 26505940376441 is an apocalyptic number.

It is an amenable number.

6505940376441 is a deficient number, since it is larger than the sum of its proper divisors (4428043932807).

6505940376441 is a wasteful number, since it uses less digits than its factorization.

6505940376441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287593 (or 287581 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6505940376441 in words is "six trillion, five hundred five billion, nine hundred forty million, three hundred seventy-six thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 43 81 99 129 197 243 297 387 473 591 891 1161 1419 1773 2167 2673 3483 4257 5319 6501 8471 10449 12771 15957 19503 25413 38313 47871 58509 76239 93181 114939 175527 228717 279543 287327 526581 686151 838629 861981 2058453 2515887 2585943 3160597 7547661 7757829 9481791 12355061 22642983 23273487 28445373 37065183 56603419 69820461 85336119 111195549 135905671 169810257 256008357 333586647 407717013 509430771 622637609 768025071 1000759941 1223151039 1528292313 1867912827 2433947017 3002279823 3669453117 4584876939 5603738481 7301841051 11008359351 13754630817 16811215443 21905523153 26773417187 33025078053 50433646329 65716569459 80320251561 151300938987 197149708377 240960754683 591449125131 722882264049 2168646792147 6505940376441