Search a number
-
+
96479539200 = 21232521131307
BaseRepresentation
bin101100111011010100…
…0001111000000000000
3100020000211021101220200
41121312220033000000
53040042230223300
6112153323205200
76653565360252
oct1316650170000
9306024241820
1096479539200
1137a0a203870
1216846976800
13913735b045
144953697cd2
15279a13a200
hex1676a0f000

96479539200 has 936 divisors, whose sum is σ = 390412678656. Its totient is φ = 22560768000.

The previous prime is 96479539199. The next prime is 96479539201. The reversal of 96479539200 is 293597469.

It is an interprime number because it is at equal distance from previous prime (96479539199) and next prime (96479539201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96479539201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314265447 + ... + 314265753.

Almost surely, 296479539200 is an apocalyptic number.

96479539200 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 96479539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195206339328).

96479539200 is an abundant number, since it is smaller than the sum of its proper divisors (293933139456).

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

96479539200 is a wasteful number, since it uses less digits than its factorization.

96479539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 96479539200 in words is "ninety-six billion, four hundred seventy-nine million, five hundred thirty-nine thousand, two hundred".