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11225013952 = 261910191397
BaseRepresentation
bin10100111010001000…
…00001111011000000
31001222021211210100111
422131010001323000
5140442100421302
65053503001104
7545111021125
oct123504017300
931867753314
1011225013952
114840256139
122213299194
13109b72c2b9
14786b2474c
1545a6da0d7
hex29d101ec0

11225013952 has 56 divisors (see below), whose sum is σ = 23679393840. Its totient is φ = 5264409600.

The previous prime is 11225013949. The next prime is 11225013959. The reversal of 11225013952 is 25931052211.

It is not an unprimeable number, because it can be changed into a prime (11225013959) 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, 77118 + ... + 168514.

Almost surely, 211225013952 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 11225013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839696920).

11225013952 is an abundant number, since it is smaller than the sum of its proper divisors (12454379888).

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

11225013952 is a wasteful number, since it uses less digits than its factorization.

11225013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91529 (or 91519 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 11225013952 in words is "eleven billion, two hundred twenty-five million, thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 404 608 808 1216 1616 1919 3232 3838 6464 7676 15352 30704 61408 91397 122816 182794 365588 731176 1462352 1736543 2924704 3473086 5849408 6946172 9231097 13892344 18462194 27784688 36924388 55569376 73848776 111138752 147697552 175390843 295395104 350781686 590790208 701563372 1403126744 2806253488 5612506976 11225013952