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13805242556 = 2272715091949
BaseRepresentation
bin11001101101101101…
…10100100010111100
31022122002222222120212
430312312310202330
5211233120230211
610201514131552
7666051424400
oct146666644274
938562888525
1013805242556
115944777076
122813420bb8
1313c016bba1
1494d69b100
1555beb238b
hex336db48bc

13805242556 has 72 divisors (see below), whose sum is σ = 28569996000. Its totient is φ = 5818753920.

The previous prime is 13805242501. The next prime is 13805242559. The reversal of 13805242556 is 65524250831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13805242559) 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 23 ways as a sum of consecutive naturals, for example, 7082270 + ... + 7084218.

It is an arithmetic number, because the mean of its divisors is an integer number (396805500).

Almost surely, 213805242556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13805242556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284998000).

13805242556 is an abundant number, since it is smaller than the sum of its proper divisors (14764753444).

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

13805242556 is a wasteful number, since it uses less digits than its factorization.

13805242556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 13805242556 in words is "thirteen billion, eight hundred five million, two hundred forty-two thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 509 994 1018 1949 1988 2036 3479 3563 3898 6958 7126 7796 13643 13916 14252 24941 27286 36139 49882 54572 72278 95501 99764 138379 144556 191002 252973 276758 382004 505946 553516 968653 992041 1011892 1770811 1937306 1984082 3541622 3874612 3968164 6780571 6944287 7083244 13561142 13888574 27122284 27777148 48610009 70434911 97220018 140869822 194440036 281739644 493044377 986088754 1972177508 3451310639 6902621278 13805242556