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97696523520 = 283455915971
BaseRepresentation
bin101101011111100101…
…0101010010100000000
3100100011122020121120000
41122333022222110000
53100040302223040
6112514155320000
710026003514431
oct1327712522400
9310148217500
1097696523520
1138484160132
1216b26450000
13929c51b0cb
144a2b169488
15281bdcd130
hex16bf2aa500

97696523520 has 360 divisors, whose sum is σ = 355523303520. Its totient is φ = 25609236480.

The previous prime is 97696523513. The next prime is 97696523537. The reversal of 97696523520 is 2532569679.

97696523520 is a `hidden beast` number, since 9 + 7 + 6 + 96 + 5 + 23 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×976965235202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6109135 + ... + 6125105.

It is an arithmetic number, because the mean of its divisors is an integer number (987564732).

Almost surely, 297696523520 is an apocalyptic number.

97696523520 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 97696523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177761651760).

97696523520 is an abundant number, since it is smaller than the sum of its proper divisors (257826780000).

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

97696523520 is a wasteful number, since it uses less digits than its factorization.

97696523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16063 (or 16040 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 97696523520 in words is "ninety-seven billion, six hundred ninety-six million, five hundred twenty-three thousand, five hundred twenty".