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11421563136 = 283127117101
BaseRepresentation
bin10101010001100011…
…10011100100000000
31002110222200112010220
422220301303210000
5141342410010021
65125203423040
7553015453614
oct125061634400
932428615126
1011421563136
1149311a1485
122269084a80
1311003789a9
147a4c89344
1546cab1cc6
hex2a8c73900

11421563136 has 72 divisors (see below), whose sum is σ = 30637630464. Its totient is φ = 3777177600.

The previous prime is 11421563129. The next prime is 11421563143. The reversal of 11421563136 is 63136512411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11421563129) and next prime (11421563143).

It is a junction number, because it is equal to n+sod(n) for n = 11421563097 and 11421563106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38986 + ... + 156086.

Almost surely, 211421563136 is an apocalyptic number.

11421563136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11421563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318815232).

11421563136 is an abundant number, since it is smaller than the sum of its proper divisors (19216067328).

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

11421563136 is a wasteful number, since it uses less digits than its factorization.

11421563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117247 (or 117233 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The spelling of 11421563136 in words is "eleven billion, four hundred twenty-one million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 32512 48768 97536 117101 234202 351303 468404 702606 936808 1405212 1873616 2810424 3747232 5620848 7494464 11241696 14871827 14988928 22483392 29743654 29977856 44615481 44966784 59487308 89230962 89933568 118974616 178461924 237949232 356923848 475898464 713847696 951796928 1427695392 1903593856 2855390784 3807187712 5710781568 11421563136