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81394579537920 = 224365113
BaseRepresentation
bin10010100000011100100111…
…000000000000000000000000
3101200012020122012021211000000
4102200130213000000000000
541132032044330203140
6445040053104000000
723100364362446055
oct2240344700000000
9350166565254000
1081394579537920
1123a3127a219000
129166994000000
13365562578337c
14161573932d02c
159623d6c8aa30
hex4a0727000000

81394579537920 has 1400 divisors, whose sum is σ = 322153139241072. Its totient is φ = 19732019281920.

The previous prime is 81394579537897. The next prime is 81394579537927. The reversal of 81394579537920 is 2973597549318.

81394579537920 is a `hidden beast` number, since 8 + 1 + 39 + 4 + 57 + 9 + 537 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81394579537927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7399507230715 + ... + 7399507230725.

Almost surely, 281394579537920 is an apocalyptic number.

81394579537920 is a gapful number since it is divisible by the number (80) 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 81394579537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161076569620536).

81394579537920 is an abundant number, since it is smaller than the sum of its proper divisors (240758559703152).

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

81394579537920 is an frugal number, since it uses more digits than its factorization.

81394579537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 81394579537920 in words is "eighty-one trillion, three hundred ninety-four billion, five hundred seventy-nine million, five hundred thirty-seven thousand, nine hundred twenty".