Search a number
-
+
193528554448 = 24192371389839
BaseRepresentation
bin1011010000111100110…
…0110110001111010000
3200111112100010012002211
42310033030312033100
511132321302220243
6224523352321504
716660550366545
oct2641714661720
9614470105084
10193528554448
1175090907399
12316103a3294
1315332688358
14951c830bcc
15507a263d9d
hex2d0f3363d0

193528554448 has 80 divisors (see below), whose sum is σ = 417658982400. Its totient is φ = 86450474880.

The previous prime is 193528554409. The next prime is 193528554463. The reversal of 193528554448 is 844455825391.

193528554448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 193528554392 and 193528554401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301513 + ... + 691351.

It is an arithmetic number, because the mean of its divisors is an integer number (5220737280).

Almost surely, 2193528554448 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 193528554448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208829491200).

193528554448 is an abundant number, since it is smaller than the sum of its proper divisors (224130427952).

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

193528554448 is a wasteful number, since it uses less digits than its factorization.

193528554448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389960 (or 389954 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 58.

The spelling of 193528554448 in words is "one hundred ninety-three billion, five hundred twenty-eight million, five hundred fifty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 23 38 46 71 76 92 142 152 184 284 304 368 437 568 874 1136 1349 1633 1748 2698 3266 3496 5396 6532 6992 10792 13064 21584 26128 31027 62054 124108 248216 389839 496432 779678 1559356 3118712 6237424 7406941 8966297 14813882 17932594 27678569 29627764 35865188 55357138 59255528 71730376 110714276 118511056 143460752 170359643 221428552 340719286 442857104 525892811 636607087 681438572 1051785622 1273214174 1362877144 2103571244 2546428348 2725754288 4207142488 5092856696 8414284976 10185713392 12095534653 24191069306 48382138612 96764277224 193528554448