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81347563520 = 212519932
BaseRepresentation
bin100101111000010110…
…0010101000000000000
321202222020210101121222
41023300230111000000
52313044434013040
6101212012334212
75606603611136
oct1136054250000
9252866711558
1081347563520
1131554640543
1213923174368
137895384192
143d19b1b756
1521b1956bb5
hex12f0b15000

81347563520 has 78 divisors (see below), whose sum is σ = 195308317278. Its totient is φ = 32522698752.

The previous prime is 81347563519. The next prime is 81347563523. The reversal of 81347563520 is 2536574318.

It can be written as a sum of positive squares in 3 ways, for example, as 23162404864 + 58185158656 = 152192^2 + 241216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81347563523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40815644 + ... + 40817636.

Almost surely, 281347563520 is an apocalyptic number.

81347563520 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 81347563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97654158639).

81347563520 is an abundant number, since it is smaller than the sum of its proper divisors (113960753758).

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

81347563520 is an frugal number, since it uses more digits than its factorization.

81347563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 81347563520 in words is "eighty-one billion, three hundred forty-seven million, five hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1993 2048 2560 3986 4096 5120 7972 9965 10240 15944 19930 20480 31888 39860 63776 79720 127552 159440 255104 318880 510208 637760 1020416 1275520 2040832 2551040 3972049 4081664 5102080 7944098 8163328 10204160 15888196 19860245 20408320 31776392 39720490 40816640 63552784 79440980 127105568 158881960 254211136 317763920 508422272 635527840 1016844544 1271055680 2033689088 2542111360 4067378176 5084222720 8134756352 10168445440 16269512704 20336890880 40673781760 81347563520