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1252248045048 = 233573111323571
BaseRepresentation
bin10010001110001111110…
…011001100010111111000
311102201021022121210200000
4102032033303030113320
5131004100444420143
62355135205313000
7156320605521000
oct22161763142770
94381238553600
101252248045048
11443091414710
1218283b405760
139111800b6b0
1444875641000
1522891adcbd3
hex1238fccc5f8

1252248045048 has 1536 divisors, whose sum is σ = 5036967936000. Its totient is φ = 286682457600.

The previous prime is 1252248045031. The next prime is 1252248045067. The reversal of 1252248045048 is 8405408422521.

It is a happy number.

1252248045048 is a `hidden beast` number, since 1 + 2 + 522 + 4 + 80 + 4 + 5 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1252248044994 and 1252248045012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2193078603 + ... + 2193079173.

It is an arithmetic number, because the mean of its divisors is an integer number (3279276000).

Almost surely, 21252248045048 is an apocalyptic number.

1252248045048 is a gapful number since it is divisible by the number (18) 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 1252248045048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518483968000).

1252248045048 is an abundant number, since it is smaller than the sum of its proper divisors (3784719890952).

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

1252248045048 is a wasteful number, since it uses less digits than its factorization.

1252248045048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 1252248045048 in words is "one trillion, two hundred fifty-two billion, two hundred forty-eight million, forty-five thousand, forty-eight".