Search a number
-
+
6505561556656 = 241779302753237
BaseRepresentation
bin101111010101011000110…
…1011111000011010110000
3212000220222202210121121121
41132222301223320122300
51323041342224303111
621500340321432024
71241003610561451
oct136526153703260
925026882717547
106505561556656
112088aa1998768
128909a349b614
13382619794ba6
14186c298d1128
15b4357e99871
hex5eab1af86b0

6505561556656 has 40 divisors (see below), whose sum is σ = 13514904544320. Its totient is φ = 3022688308224.

The previous prime is 6505561556633. The next prime is 6505561556693. The reversal of 6505561556656 is 6566551655056.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6505561556594 and 6505561556603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151355131 + ... + 151398106.

It is an arithmetic number, because the mean of its divisors is an integer number (337872613608).

Almost surely, 26505561556656 is an apocalyptic number.

It is an amenable number.

6505561556656 is an abundant number, since it is smaller than the sum of its proper divisors (7009342987664).

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

6505561556656 is a wasteful number, since it uses less digits than its factorization.

6505561556656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302753341 (or 302753335 counting only the distinct ones).

The product of its (nonzero) digits is 121500000, while the sum is 61.

The spelling of 6505561556656 in words is "six trillion, five hundred five billion, five hundred sixty-one million, five hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 1264 1343 2686 5372 10744 21488 302753237 605506474 1211012948 2422025896 4844051792 5146805029 10293610058 20587220116 23917505723 41174440232 47835011446 82348880464 95670022892 191340045784 382680091568 406597597291 813195194582 1626390389164 3252780778328 6505561556656