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97663668480 = 2832571398713
BaseRepresentation
bin101101011110100110…
…1010101000100000000
3100100002100102101220200
41122331031111010000
53100003344342410
6112511023205200
710025124325230
oct1327515250400
9310070371820
1097663668480
113846765a704
1216b17446800
139295786761
144a26a55cc0
15281908d3c0
hex16bd355100

97663668480 has 432 divisors, whose sum is σ = 389001325440. Its totient is φ = 22159982592.

The previous prime is 97663668469. The next prime is 97663668491. The reversal of 97663668480 is 8486636679.

97663668480 is a `hidden beast` number, since 9 + 7 + 66 + 36 + 68 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (97663668469) and next prime (97663668491).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11204604 + ... + 11213316.

Almost surely, 297663668480 is an apocalyptic number.

97663668480 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 97663668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194500662720).

97663668480 is an abundant number, since it is smaller than the sum of its proper divisors (291337656960).

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

97663668480 is a wasteful number, since it uses less digits than its factorization.

97663668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 97663668480 in words is "ninety-seven billion, six hundred sixty-three million, six hundred sixty-eight thousand, four hundred eighty".