Search a number
-
+
97178499968 = 2711118158441
BaseRepresentation
bin101101010000001001…
…0100011101110000000
3100021211112111021211112
41122200102203232000
53043010143444333
6112350532302452
710010113422614
oct1324022435600
9307745437745
1097178499968
11382388033a0
1216a00a71a28
1392190c53b4
1449bc441344
1527db6a4948
hex16a04a3b80

97178499968 has 64 divisors (see below), whose sum is σ = 211380038640. Its totient is φ = 44133888000.

The previous prime is 97178499937. The next prime is 97178500019. The reversal of 97178499968 is 86999487179.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1633628 + ... + 1692068.

Almost surely, 297178499968 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 97178499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105690019320).

97178499968 is an abundant number, since it is smaller than the sum of its proper divisors (114201538672).

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

97178499968 is a wasteful number, since it uses less digits than its factorization.

97178499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59647 (or 59635 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 77.

The spelling of 97178499968 in words is "ninety-seven billion, one hundred seventy-eight million, four hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1181 1408 2362 4724 9448 12991 18896 25982 37792 51964 58441 75584 103928 116882 151168 207856 233764 415712 467528 642851 831424 935056 1285702 1662848 1870112 2571404 3740224 5142808 7480448 10285616 20571232 41142464 69018821 82284928 138037642 276075284 552150568 759207031 1104301136 1518414062 2208602272 3036828124 4417204544 6073656248 8834409088 12147312496 24294624992 48589249984 97178499968