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11075147232 = 253147178427
BaseRepresentation
bin10100101000010000…
…10101010111100000
31001120211211202212020
422110020111113200
5140140214202412
65030550501440
7541311124662
oct122410252740
931524752766
1011075147232
1147736a5046
122191064880
131076678c76
14770c72532
1544c48518c
hex2942155e0

11075147232 has 48 divisors (see below), whose sum is σ = 29092396032. Its totient is φ = 3689159040.

The previous prime is 11075147231. The next prime is 11075147287. The reversal of 11075147232 is 23274157011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11075147193 and 11075147202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075147231) by changing a digit.

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, 102003 + ... + 180429.

It is an arithmetic number, because the mean of its divisors is an integer number (606091584).

Almost surely, 211075147232 is an apocalyptic number.

11075147232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11075147232 is an abundant number, since it is smaller than the sum of its proper divisors (18017248800).

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

11075147232 is a wasteful number, since it uses less digits than its factorization.

11075147232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79911 (or 79903 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 11075147232 in words is "eleven billion, seventy-five million, one hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1471 2942 4413 5884 8826 11768 17652 23536 35304 47072 70608 78427 141216 156854 235281 313708 470562 627416 941124 1254832 1882248 2509664 3764496 7528992 115366117 230732234 346098351 461464468 692196702 922928936 1384393404 1845857872 2768786808 3691715744 5537573616 11075147232