Search a number
-
+
193047457464 = 233417471792083
BaseRepresentation
bin1011001111001010000…
…1100110111010111000
3200110021210211221010000
42303302201212322320
511130330122114324
6224403524553000
716642616212461
oct2636241467270
9613253757100
10193047457464
1174964291084
12314b7252760
1315286ac1294
1494b4999d68
15504cdd19c9
hex2cf2866eb8

193047457464 has 320 divisors, whose sum is σ = 588248179200. Its totient is φ = 58915869696.

The previous prime is 193047457451. The next prime is 193047457469. The reversal of 193047457464 is 464754740391.

193047457464 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 4 + 7 + 4 + 574 + 64 = 666.

It is a super-2 number, since 2×1930474574642 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 193047457464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193047457469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92676567 + ... + 92678649.

It is an arithmetic number, because the mean of its divisors is an integer number (1838275560).

Almost surely, 2193047457464 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 193047457464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294124089600).

193047457464 is an abundant number, since it is smaller than the sum of its proper divisors (395200721736).

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

193047457464 is a wasteful number, since it uses less digits than its factorization.

193047457464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 193047457464 in words is "one hundred ninety-three billion, forty-seven million, four hundred fifty-seven thousand, four hundred sixty-four".