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93994416976 = 2437971636849
BaseRepresentation
bin101011110001010000…
…0001111101101010000
322222121122002010002211
41113202200033231100
53020000032320401
6111102550321504
76535161235045
oct1274240175520
9288548063084
1093994416976
1136954441749
1216272659294
138b2c53a715
1447995db1cc
1526a1d9c951
hex15e280fb50

93994416976 has 40 divisors (see below), whose sum is σ = 188964511400. Its totient is φ = 45255573504.

The previous prime is 93994416959. The next prime is 93994416979. The reversal of 93994416976 is 67961449939.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40344739600 + 53649677376 = 200860^2 + 231624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93994416979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761001 + ... + 875848.

It is an arithmetic number, because the mean of its divisors is an integer number (4724112785).

Almost surely, 293994416976 is an apocalyptic number.

It is an amenable number.

93994416976 is an abundant number, since it is smaller than the sum of its proper divisors (94970094424).

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

93994416976 is a wasteful number, since it uses less digits than its factorization.

93994416976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636991 (or 1636985 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 67.

The spelling of 93994416976 in words is "ninety-three billion, nine hundred ninety-four million, four hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 37 74 97 148 194 296 388 592 776 1552 3589 7178 14356 28712 57424 1636849 3273698 6547396 13094792 26189584 60563413 121126826 158774353 242253652 317548706 484507304 635097412 969014608 1270194824 2540389648 5874651061 11749302122 23498604244 46997208488 93994416976