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425648738700 = 2236521723109137
BaseRepresentation
bin1100011000110101010…
…01000101000110001100
31111200200012012022000000
412030122221011012030
523433212034114300
6523312413404300
742515654403603
oct6143251050614
91450605168000
10425648738700
11154575686409
126a5b0a99690
13311a53a66c3
141685c77ca3a
15b113514c00
hex631aa4518c

425648738700 has 1008 divisors, whose sum is σ = 1555376074560. Its totient is φ = 100508221440.

The previous prime is 425648738651. The next prime is 425648738759. The reversal of 425648738700 is 7837846524.

425648738700 is a `hidden beast` number, since 4 + 2 + 564 + 8 + 7 + 3 + 8 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3106925032 + ... + 3106925168.

It is an arithmetic number, because the mean of its divisors is an integer number (1543031820).

Almost surely, 2425648738700 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 425648738700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777688037280).

425648738700 is an abundant number, since it is smaller than the sum of its proper divisors (1129727335860).

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

425648738700 is a wasteful number, since it uses less digits than its factorization.

425648738700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 425648738700 in words is "four hundred twenty-five billion, six hundred forty-eight million, seven hundred thirty-eight thousand, seven hundred".