Search a number
-
+
97470886464 = 26337193113681
BaseRepresentation
bin101101011000110110…
…1111011001001000000
3100022120220200001201000
41122301231323021000
53044110021331324
6112435535212000
710020263602440
oct1326155731100
9308526601630
1097470886464
1138378857726
1216a82977000
139264858963
144a091d2120
1528071ac9c9
hex16b1b7b240

97470886464 has 448 divisors, whose sum is σ = 355863347200. Its totient is φ = 25530163200.

The previous prime is 97470886453. The next prime is 97470886481. The reversal of 97470886464 is 46468807479.

97470886464 is a `hidden beast` number, since 97 + 4 + 7 + 0 + 8 + 86 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7117704 + ... + 7131384.

Almost surely, 297470886464 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 97470886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177931673600).

97470886464 is an abundant number, since it is smaller than the sum of its proper divisors (258392460736).

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

97470886464 is a wasteful number, since it uses less digits than its factorization.

97470886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13759 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 97470886464 in words is "ninety-seven billion, four hundred seventy million, eight hundred eighty-six thousand, four hundred sixty-four".