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95320074240 = 2113651132
BaseRepresentation
bin101100011000110000…
…1001110100000000000
3100010001000112111000000
41120301201032200000
53030203414333430
6111442304000000
76613056156036
oct1306141164000
9303030474000
1095320074240
1137474773666
1216582600000
138cb1089ac1
1448836ba556
15272d459e60
hex163184e800

95320074240 has 504 divisors, whose sum is σ = 345973093830. Its totient is φ = 25193742336.

The previous prime is 95320074203. The next prime is 95320074263. The reversal of 95320074240 is 4247002359.

95320074240 is a `hidden beast` number, since 95 + 320 + 0 + 7 + 4 + 240 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18400379904 + 76919694336 = 135648^2 + 277344^2 .

It is a super-2 number, since 2×953200742402 (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 = 95320074195 and 95320074204.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 843540424 + ... + 843540536.

Almost surely, 295320074240 is an apocalyptic number.

95320074240 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 95320074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172986546915).

95320074240 is an abundant number, since it is smaller than the sum of its proper divisors (250653019590).

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

95320074240 is an frugal number, since it uses more digits than its factorization.

95320074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 95320074240 its reverse (4247002359), we get a palindrome (99567076599).

The spelling of 95320074240 in words is "ninety-five billion, three hundred twenty million, seventy-four thousand, two hundred forty".