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81925117611480 = 233451113414312729
BaseRepresentation
bin10010101000001010101101…
…100010001000110111011000
3101202001222001022021101210000
4102220022231202020313120
541214230120102031410
6450123513544053000
723153615533614033
oct2250125542106730
9352058038241700
1081925117611480
112411627a121120
129231778164160
1336936755bc050
1416332a822401a
159710d8881dc0
hex4a82ad888dd8

81925117611480 has 640 divisors, whose sum is σ = 331389483163200. Its totient is φ = 17885745561600.

The previous prime is 81925117611457. The next prime is 81925117611569. The reversal of 81925117611480 is 8411671152918.

81925117611480 is a `hidden beast` number, since 8 + 1 + 9 + 2 + 5 + 1 + 17 + 611 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16839756 + ... + 21152484.

Almost surely, 281925117611480 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 81925117611480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165694741581600).

81925117611480 is an abundant number, since it is smaller than the sum of its proper divisors (249464365551720).

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

81925117611480 is a wasteful number, since it uses less digits than its factorization.

81925117611480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312817 (or 4312804 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 81925117611480 in words is "eighty-one trillion, nine hundred twenty-five billion, one hundred seventeen million, six hundred eleven thousand, four hundred eighty".