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96469491456 = 283613172339
BaseRepresentation
bin101100111011000000…
…1111001111100000000
3100020000010100221000000
41121312001321330000
53040032142211311
6112152324000000
76653414101452
oct1316601717400
9306003327000
1096469491456
1137a04570848
1216843530000
139135250830
1449522002d2
152799303056
hex1676079f00

96469491456 has 504 divisors, whose sum is σ = 329349842640. Its totient is φ = 27924922368.

The previous prime is 96469491451. The next prime is 96469491457. The reversal of 96469491456 is 65419496469.

96469491456 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 94 + 91 + 456 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 96469491393 and 96469491402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96469491451) 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 55 ways as a sum of consecutive naturals, for example, 41242735 + ... + 41245073.

It is an arithmetic number, because the mean of its divisors is an integer number (653471910).

Almost surely, 296469491456 is an apocalyptic number.

96469491456 is a gapful number since it is divisible by the number (96) 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 96469491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164674921320).

96469491456 is an abundant number, since it is smaller than the sum of its proper divisors (232880351184).

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

96469491456 is a wasteful number, since it uses less digits than its factorization.

96469491456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2374 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 96469491456 in words is "ninety-six billion, four hundred sixty-nine million, four hundred ninety-one thousand, four hundred fifty-six".