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97663574016 = 2133571691
BaseRepresentation
bin101101011110100110…
…0111110000000000000
3100100002100020121100000
41122331030332000000
53100003333332031
6112511021200000
710025123452641
oct1327514760000
9310070217300
1097663574016
11384675a5738
1216b17400000
139295752768
144a26a2d6c8
1528190703e6
hex16bd33e000

97663574016 has 336 divisors, whose sum is σ = 297121039488. Its totient is φ = 32049561600.

The previous prime is 97663574003. The next prime is 97663574069. The reversal of 97663574016 is 61047536679.

It is a happy number.

97663574016 is a `hidden beast` number, since 9 + 7 + 6 + 63 + 574 + 0 + 1 + 6 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141336231 + ... + 141336921.

It is an arithmetic number, because the mean of its divisors is an integer number (884288808).

Almost surely, 297663574016 is an apocalyptic number.

97663574016 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 97663574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148560519744).

97663574016 is an abundant number, since it is smaller than the sum of its proper divisors (199457465472).

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

97663574016 is an frugal number, since it uses more digits than its factorization.

97663574016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 97663574016 in words is "ninety-seven billion, six hundred sixty-three million, five hundred seventy-four thousand, sixteen".