Search a number
-
+
97340174064 = 2436717193691
BaseRepresentation
bin101101010100111101…
…1010010111011110000
3100022020210201012000000
41122221323102323300
53043323041032224
6112414545430000
710014115553640
oct1325173227360
9308223635000
1097340174064
1138310a99551
1216a4703b300
139243750b43
1449d5ac8520
1527ea98d0c9
hex16a9ed2ef0

97340174064 has 560 divisors, whose sum is σ = 360276583680. Its totient is φ = 24791132160.

The previous prime is 97340174059. The next prime is 97340174101. The reversal of 97340174064 is 46047104379.

It is a super-4 number, since 4×973401740644 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 26370459 + ... + 26374149.

Almost surely, 297340174064 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 97340174064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180138291840).

97340174064 is an abundant number, since it is smaller than the sum of its proper divisors (262936409616).

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

97340174064 is a wasteful number, since it uses less digits than its factorization.

97340174064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 97340174064 in words is "ninety-seven billion, three hundred forty million, one hundred seventy-four thousand, sixty-four".