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81542355840 = 27325111286969
BaseRepresentation
bin100101111110001001…
…1011001101110000000
321210110211022212110100
41023330103121232000
52313444320341330
6101243211402400
75614460405601
oct1137423315600
9253424285410
1081542355840
1131644596930
1213978453400
1378c6836cca
143d37945da8
1521c3ad3060
hex12fc4d9b80

81542355840 has 192 divisors, whose sum is σ = 307173999600. Its totient is φ = 19767828480.

The previous prime is 81542355823. The next prime is 81542355859. The reversal of 81542355840 is 4855324518.

81542355840 is a `hidden beast` number, since 8 + 1 + 54 + 2 + 3 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580125 + ... + 706844.

Almost surely, 281542355840 is an apocalyptic number.

81542355840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81542355840 is an abundant number, since it is smaller than the sum of its proper divisors (225631643760).

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

81542355840 is a wasteful number, since it uses less digits than its factorization.

81542355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287005 (or 1286990 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 81542355840 in words is "eighty-one billion, five hundred forty-two million, three hundred fifty-five thousand, eight hundred forty".