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96719497056 = 253271331119047
BaseRepresentation
bin101101000010011101…
…1100110011101100000
3100020122112210112012200
41122010323212131200
53041040142401211
6112233214253200
76662541105660
oct1320473463540
9306575715180
1096719497056
11380226a8746
12168b31b7200
139174c95940
1449774bc1a0
1527b1238b56
hex1684ee6760

96719497056 has 288 divisors, whose sum is σ = 349441118208. Its totient is φ = 24685378560.

The previous prime is 96719497019. The next prime is 96719497141. The reversal of 96719497056 is 65079491769.

96719497056 is a `hidden beast` number, since 96 + 7 + 1 + 9 + 497 + 0 + 56 = 666.

96719497056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×967194970562 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 96719496984 and 96719497002.

It is a congruent number.

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, 752925 + ... + 871971.

It is an arithmetic number, because the mean of its divisors is an integer number (1213337216).

Almost surely, 296719497056 is an apocalyptic number.

96719497056 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 96719497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720559104).

96719497056 is an abundant number, since it is smaller than the sum of its proper divisors (252721621152).

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

96719497056 is a wasteful number, since it uses less digits than its factorization.

96719497056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119114 (or 119103 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 96719497056 in words is "ninety-six billion, seven hundred nineteen million, four hundred ninety-seven thousand, fifty-six".