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83957343654976 = 261121041232
BaseRepresentation
bin10011000101101111010111…
…101001010001010001000000
3102000021020120122002212201121
4103011233113221101101000
542001024114433424401
6454321245441042024
723453501146146511
oct2305572751212100
9360236518085647
1083957343654976
112482a122803400
1294bb5b4626314
1337b01b3467cbc
1416a37b2a18a08
159a8dcaaebca1
hex4c5bd7a51440

83957343654976 has 63 divisors (see below), whose sum is σ = 183127209646423. Its totient is φ = 38162062421120.

The previous prime is 83957343654931. The next prime is 83957343655057. The reversal of 83957343654976 is 67945634375938.

The square root of 83957343654976 is 9162824.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83957343654896 and 83957343654905.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 806276451 + ... + 806380573.

Almost surely, 283957343654976 is an apocalyptic number.

83957343654976 is the 9162824-th square number.

It is an amenable number.

83957343654976 is an abundant number, since it is smaller than the sum of its proper divisors (99169865991447).

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

83957343654976 is an frugal number, since it uses more digits than its factorization.

83957343654976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208280 (or 104136 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 79.

The spelling of 83957343654976 in words is "eighty-three trillion, nine hundred fifty-seven billion, three hundred forty-three million, six hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 104123 208246 416492 832984 1145353 1665968 2290706 3331936 4581412 6663872 9162824 12598883 18325648 25197766 36651296 50395532 73302592 100791064 201582128 403164256 806328512 10841599129 21683198258 43366396516 86732793032 119257590419 173465586064 238515180838 346931172128 477030361676 693862344256 954060723352 1311833494609 1908121446704 2623666989218 3816242893408 5247333978436 7632485786816 10494667956872 20989335913744 41978671827488 83957343654976