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948068906519 = 72171959901997
BaseRepresentation
bin11011100101111010100…
…11110111011000010111
310100122010112220112121102
431302331103313120113
5111013121120002034
62003311542540315
7125332013512100
oct15627523673027
93318115815542
10948068906519
1133608a1aa819
121338aa43769b
136b530429667
1433c5b4773a7
15199dc5c097e
hexdcbd4f7617

948068906519 has 24 divisors (see below), whose sum is σ = 1229188998960. Its totient is φ = 724574543616.

The previous prime is 948068906423. The next prime is 948068906527. The reversal of 948068906519 is 915609860849.

It is not a de Polignac number, because 948068906519 - 224 = 948052129303 is a prime.

It is a super-2 number, since 2×9480689065192 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948068906599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29935172 + ... + 29966825.

It is an arithmetic number, because the mean of its divisors is an integer number (51216208290).

Almost surely, 2948068906519 is an apocalyptic number.

948068906519 is a deficient number, since it is larger than the sum of its proper divisors (281120092441).

948068906519 is a wasteful number, since it uses less digits than its factorization.

948068906519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59902047 (or 59902040 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 65.

The spelling of 948068906519 in words is "nine hundred forty-eight billion, sixty-eight million, nine hundred six thousand, five hundred nineteen".

Divisors: 1 7 17 19 49 119 133 323 833 931 2261 15827 59901997 419313979 1018333949 1138137943 2935197853 7128337643 7966965601 19348345031 49898363501 55768759207 135438415217 948068906519