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97678622016 = 263212713110193
BaseRepresentation
bin101101011111000011…
…0010111110101000000
3100100010101120010022100
41122332012113311000
53100021211401031
6112512315510400
710025365405443
oct1327606276500
9310111503270
1097678622016
11384750434a8
1216b20458400
1392988c0bc1
144a28a2965a
15281a543de6
hex16be197d40

97678622016 has 168 divisors, whose sum is σ = 284364647424. Its totient is φ = 32053432320.

The previous prime is 97678621967. The next prime is 97678622017. The reversal of 97678622016 is 61022687679.

97678622016 is a `hidden beast` number, since 9 + 7 + 6 + 7 + 8 + 622 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×976786220162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97678622017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9577816 + ... + 9588008.

Almost surely, 297678622016 is an apocalyptic number.

97678622016 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 97678622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142182323712).

97678622016 is an abundant number, since it is smaller than the sum of its proper divisors (186686025408).

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

97678622016 is a wasteful number, since it uses less digits than its factorization.

97678622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 97678622016 in words is "ninety-seven billion, six hundred seventy-eight million, six hundred twenty-two thousand, sixteen".