Search a number
-
+
97354392400 = 2452243385981
BaseRepresentation
bin101101010101011000…
…1100010001101010000
3100022021210110112220001
41122222301202031100
53043340211024100
6112420214255344
710014350452546
oct1325261421520
9308253415801
1097354392400
113831901aa41
1216a4b957554
13924668b765
1449d7949d96
1527ebd4ad6a
hex16aac62350

97354392400 has 30 divisors (see below), whose sum is σ = 233893928702. Its totient is φ = 38941756800.

The previous prime is 97354392389. The next prime is 97354392407. The reversal of 97354392400 is 429345379.

It can be written as a sum of positive squares in 3 ways, for example, as 9337743424 + 88016648976 = 96632^2 + 296676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97354392407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121692591 + ... + 121693390.

Almost surely, 297354392400 is an apocalyptic number.

It is an amenable number.

97354392400 is an abundant number, since it is smaller than the sum of its proper divisors (136539536302).

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

97354392400 is a wasteful number, since it uses less digits than its factorization.

97354392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243385999 (or 243385988 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 97354392400 in words is "ninety-seven billion, three hundred fifty-four million, three hundred ninety-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 243385981 486771962 973543924 1216929905 1947087848 2433859810 3894175696 4867719620 6084649525 9735439240 12169299050 19470878480 24338598100 48677196200 97354392400