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95070032640 = 28335112383131
BaseRepresentation
bin101100010001010011…
…1011001001100000000
3100002101121001001102000
41120202213121030000
53024200412021030
6111401412424000
76603631641552
oct1304247311400
9302347031360
1095070032640
1137356611710
1216512918000
138c713314ab
14485c3cd4d2
152716518860
hex16229d9300

95070032640 has 1152 divisors, whose sum is σ = 391631708160. Its totient is φ = 21613363200.

The previous prime is 95070032633. The next prime is 95070032641. The reversal of 95070032640 is 4623007059.

95070032640 is a `hidden beast` number, since 9 + 5 + 0 + 7 + 0 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×950700326402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95070032595 and 95070032604.

It is not an unprimeable number, because it can be changed into a prime (95070032641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 725725375 + ... + 725725505.

It is an arithmetic number, because the mean of its divisors is an integer number (339958080).

Almost surely, 295070032640 is an apocalyptic number.

95070032640 is a gapful number since it is divisible by the number (90) 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 95070032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195815854080).

95070032640 is an abundant number, since it is smaller than the sum of its proper divisors (296561675520).

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

95070032640 is a wasteful number, since it uses less digits than its factorization.

95070032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 95070032640 its reverse (4623007059), we get a palindrome (99693039699).

The spelling of 95070032640 in words is "ninety-five billion, seventy million, thirty-two thousand, six hundred forty".