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263225537148 = 223773163389677
BaseRepresentation
bin1111010100100101110…
…1101111001001111100
3221011102122021202101110
43311021131233021330
513303041214142043
6320531340442020
725005655102050
oct3651135571174
9834378252343
10263225537148
11a16a6a54042
1243021849310
131ba8c0b9712
14ca510c9c60
156ca8e6bb33
hex3d4976f27c

263225537148 has 192 divisors, whose sum is σ = 718816250880. Its totient is φ = 73423853568.

The previous prime is 263225537147. The next prime is 263225537161. The reversal of 263225537148 is 841735522362.

It is a junction number, because it is equal to n+sod(n) for n = 263225537097 and 263225537106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263225537147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 388811386 + ... + 388812062.

It is an arithmetic number, because the mean of its divisors is an integer number (3743834640).

Almost surely, 2263225537148 is an apocalyptic number.

263225537148 is a gapful number since it is divisible by the number (28) 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 263225537148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359408125440).

263225537148 is an abundant number, since it is smaller than the sum of its proper divisors (455590713732).

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

263225537148 is a wasteful number, since it uses less digits than its factorization.

263225537148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1314 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 263225537148 in words is "two hundred sixty-three billion, two hundred twenty-five million, five hundred thirty-seven thousand, one hundred forty-eight".