Search a number
-
+
97108388352 = 293419123239
BaseRepresentation
bin101101001110000011…
…1000110101000000000
3100021122122120020210000
41122130013012220000
53042334221411402
6112335545440000
710005302452563
oct1323407065000
9307578506700
1097108388352
1138202176508
12169a14a0000
139207717b31
1449b2dd04da
1527d5455c1c
hex169c1c6a00

97108388352 has 200 divisors, whose sum is σ = 305100338400. Its totient is φ = 30665558016.

The previous prime is 97108388327. The next prime is 97108388353. The reversal of 97108388352 is 25388380179.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97108388353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 726349 + ... + 849587.

It is an arithmetic number, because the mean of its divisors is an integer number (1525501692).

Almost surely, 297108388352 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 97108388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152550169200).

97108388352 is an abundant number, since it is smaller than the sum of its proper divisors (207991950048).

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

97108388352 is a wasteful number, since it uses less digits than its factorization.

97108388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123288 (or 123263 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 97108388352 in words is "ninety-seven billion, one hundred eight million, three hundred eighty-eight thousand, three hundred fifty-two".