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97499098368 = 283279762323
BaseRepresentation
bin101101011001101100…
…1100010110100000000
3100022122212202101011100
41122303121202310000
53044134232121433
6112442424014400
710021055443050
oct1326331426400
9308585671140
1097499098368
1138392776751
1216a90301400
13926a655aa9
144a0cc57560
1528098d1b13
hex16b3662d00

97499098368 has 216 divisors, whose sum is σ = 324590372288. Its totient is φ = 27569258496.

The previous prime is 97499098363. The next prime is 97499098381. The reversal of 97499098368 is 86389099479.

97499098368 is a `hidden beast` number, since 97 + 4 + 9 + 90 + 98 + 368 = 666.

97499098368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 97499098296 and 97499098305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97499098363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533255 + ... + 1595577.

Almost surely, 297499098368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97499098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162295186144).

97499098368 is an abundant number, since it is smaller than the sum of its proper divisors (227091273920).

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

97499098368 is a wasteful number, since it uses less digits than its factorization.

97499098368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62449 (or 62432 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 97499098368 in words is "ninety-seven billion, four hundred ninety-nine million, ninety-eight thousand, three hundred sixty-eight".