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95966425464 = 233713317319417
BaseRepresentation
bin101100101100000001…
…0110111000101111000
3100011201001202112012020
41121120002313011320
53033014401103324
6112030353314440
76635065104660
oct1313002670570
9304631675166
1095966425464
11377765aa928
1216722b65a20
139084c64050
14490548b1a0
15276a081679
hex16580b7178

95966425464 has 256 divisors, whose sum is σ = 308997857280. Its totient is φ = 24156610560.

The previous prime is 95966425411. The next prime is 95966425487. The reversal of 95966425464 is 46452466959.

It is a junction number, because it is equal to n+sod(n) for n = 95966425398 and 95966425407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4932684 + ... + 4952100.

It is an arithmetic number, because the mean of its divisors is an integer number (1207022880).

Almost surely, 295966425464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95966425464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154498928640).

95966425464 is an abundant number, since it is smaller than the sum of its proper divisors (213031431816).

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

95966425464 is a wasteful number, since it uses less digits than its factorization.

95966425464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19550 (or 19546 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 60.

The spelling of 95966425464 in words is "ninety-five billion, nine hundred sixty-six million, four hundred twenty-five thousand, four hundred sixty-four".