Search a number
-
+
197530113280320 = 26325531294091413
BaseRepresentation
bin101100111010011100010000…
…001111000000100101000000
3221220101200202020000122010100
4230322130100033000211000
5201342313132444432240
61540040025321202400
756415036230512212
oct5472342017004500
9856350666018110
10197530113280320
1157a370613902a7
121a1a27ab330400
13862b018585312
1436ac7194465b2
1517c8328ed1e30
hexb3a7103c0940

197530113280320 has 168 divisors, whose sum is σ = 692240555542536. Its totient is φ = 51680834629632.

The previous prime is 197530113280307. The next prime is 197530113280333. The reversal of 197530113280320 is 23082311035791.

197530113280320 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 30 + 1 + 13 + 280 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (197530113280307) and next prime (197530113280333).

It can be written as a sum of positive squares in 4 ways, for example, as 47339794073664 + 150190319206656 = 6880392^2 + 12255216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646893067 + ... + 647198346.

It is an arithmetic number, because the mean of its divisors is an integer number (4120479497277).

Almost surely, 2197530113280320 is an apocalyptic number.

197530113280320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197530113280320 is an abundant number, since it is smaller than the sum of its proper divisors (494710442262216).

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

197530113280320 is a wasteful number, since it uses less digits than its factorization.

197530113280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294091489 (or 1294091476 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 197530113280320 in words is "one hundred ninety-seven trillion, five hundred thirty billion, one hundred thirteen million, two hundred eighty thousand, three hundred twenty".