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95402052224 = 275952124247
BaseRepresentation
bin101100011011001100…
…1111100101010000000
3100010020201210101122122
41120312121330222000
53030340411132344
6111454353023412
76615103030643
oct1306631745200
9303221711578
1095402052224
1137506a75966
12165a5b54b68
138cc506059b
144890539a5a
15273574eaee
hex163667ca80

95402052224 has 64 divisors (see below), whose sum is σ = 193659076800. Its totient is φ = 46800599040.

The previous prime is 95402052223. The next prime is 95402052241. The reversal of 95402052224 is 42225020459.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (95402052223) 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, 3922469 + ... + 3946715.

It is an arithmetic number, because the mean of its divisors is an integer number (3025923075).

Almost surely, 295402052224 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 95402052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96829538400).

95402052224 is an abundant number, since it is smaller than the sum of its proper divisors (98257024576).

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

95402052224 is a wasteful number, since it uses less digits than its factorization.

95402052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24841 (or 24829 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 95402052224 in words is "ninety-five billion, four hundred two million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 521 944 1042 1888 2084 3776 4168 7552 8336 16672 24247 30739 33344 48494 61478 66688 96988 122956 193976 245912 387952 491824 775904 983648 1430573 1551808 1967296 2861146 3103616 3934592 5722292 11444584 12632687 22889168 25265374 45778336 50530748 91556672 101061496 183113344 202122992 404245984 745328533 808491968 1490657066 1616983936 2981314132 5962628264 11925256528 23850513056 47701026112 95402052224