Search a number
-
+
97930402470 = 232517295937409
BaseRepresentation
bin101101100110100011…
…0110101101010100110
3100100202221022220011100
41123031012311222212
53101030140334340
6112553312220530
710034543454315
oct1331506655246
9310687286140
1097930402470
113859418291a
1216b9083a746
139308b07b14
144a5024a27c
1528326ca830
hex16cd1b5aa6

97930402470 has 192 divisors, whose sum is σ = 283627656000. Its totient is φ = 23328227328.

The previous prime is 97930402469. The next prime is 97930402477. The reversal of 97930402470 is 7420403979.

97930402470 is a `hidden beast` number, since 97 + 93 + 0 + 4 + 0 + 2 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97930402477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2599126 + ... + 2636534.

It is an arithmetic number, because the mean of its divisors is an integer number (1477227375).

Almost surely, 297930402470 is an apocalyptic number.

97930402470 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97930402470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141813828000).

97930402470 is an abundant number, since it is smaller than the sum of its proper divisors (185697253530).

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

97930402470 is a wasteful number, since it uses less digits than its factorization.

97930402470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37527 (or 37524 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 97930402470 in words is "ninety-seven billion, nine hundred thirty million, four hundred two thousand, four hundred seventy".